{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3148a4ad-0924-4a96-b9af-31dc31e2265d",
   "metadata": {},
   "source": [
    "# 三、图例和保存图片"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "23c7965d-3791-47e5-9c06-840997f58188",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8ec31f20-381c-4ed3-b8a1-0f05b7899006",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e2e48237-79d5-4cb0-a0d1-ac110d5abf5a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 图形绘制\n",
    "x = np.linspace(0, 2*np.pi, num=100)\n",
    "y1 = np.sin(x)\n",
    "y2 = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b50aeecd-35f7-4988-8407-0efbbf5c0528",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwEAAAH5CAYAAADZQTJIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAACjoklEQVR4nOzdd3iT5f7H8XeS7k0pbRll7z0tZcmS4UDcHlEciBM8ihOP47gXbnEibsVxnKgIsjey996jLVDopDP5/fGUIj/ZNLnbPp/XdeXqbZo8+URR8833Hg6Px+NBRERERERsw2k6gIiIiIiI+JaKABERERERm1ERICIiIiJiMyoCRERERERsRkWAiIiIiIjNqAgQEREREbEZFQEiIiIiIjbjZzqACW63m927dxMeHo7D4TAdR0RERESkVHg8HjIzM6lWrRpO5/G/77dlEbB7924SEhJMxxARERER8YodO3ZQo0aN4/7elkVAeHg4YP3NiYiIMJxGRERERKR0ZGRkkJCQUPJ593hsWQQcngIUERGhIkBEREREKpyTTXnXwmAREREREZtRESAiIiIiYjMqAkREREREbEZFgIiIiIiIzagIEBERERGxGRUBIiIiIiI2oyJARERERMRmVASIiIiIiNiMigAREREREZtRESAiIiIiYjMqAkREREREbEZFgIiIiIiIzagIEBERERGxGRUBIiIiIiI249UiYMaMGVx00UVUq1YNh8PBjz/+eNLnTJs2jbZt2xIYGEj9+vX5+OOP//GY0aNHU7t2bYKCgkhMTGTBggWlH15EREREpILyahGQnZ1Nq1atGD169Ck9fsuWLVxwwQX06NGDpUuXcvfdd3PzzTfzxx9/lDzm66+/ZsSIETz++OMsXryYVq1a0bdvX1JTU731NkREREREKhSHx+Px+OSFHA5++OEHBg4ceNzHPPjgg/z666+sXLmy5L6rr76agwcPMmHCBAASExPp0KEDb731FgBut5uEhASGDx/OQw89dEpZMjIyiIyMJD09nYiIiDN/UyIiIiIiZcipfs7182Gmk5o7dy69e/c+6r6+ffty9913A5Cfn8+iRYsYOXJkye+dTie9e/dm7ty5x71uXl4eeXl5JX+dkZFRusFPR+pa+PE2CIqC4Kh//gyLh/gWEFENHA5zOaVcysorZGNqFhtSMtm6P5uc/CJyC9zkFRaRd/hnoZsgfxex4YHERQQRGx5IbEQgseFBVIsKJjo0wPTbEBERKbuKCmH/BkhdDTlpkHsQDh382890cAXAdd+bzXkSZaoISE5OJi4u7qj74uLiyMjI4NChQxw4cICioqJjPmbt2rXHve5zzz3HE0884ZXMpy0rBXYvOfnjQqtA1dZQtRVUa22NI2uoMJASGbkFzFy/jyXbD7AhNYuNqVnsOnjorK+bEB1M+1rRtKtVifa1K9EwNhynU3/uRETEhooKYe9a2LMU9iyD3UsheQUUnuT/twFhvkh3VspUEeAtI0eOZMSIESV/nZGRQUJCgpkwcc3hX+P+X8V48EjleHC79Yctey9snGTdDotpCE0vtm5xzVUQ2IzH42Hzvmymrk1l8ppU/tqaRqH7n7P5qoQH0iA2jLpVQokI8ifQz0WQv5NAPydB/i4C/Jzk5BeRmpFLamYeqZl5pBSP92XlsSPtEDvSdvHDkl0AhAf50bZmJXo1ieXCltXUKRARkYqtMB+2TIfVP8LaX+HQgX8+JiAM4ppBWKw1myMo8m8zOypZP8u4MlUExMfHk5KSctR9KSkpREREEBwcjMvlwuVyHfMx8fHxx71uYGAggYGBXsl82kIrQ6P+J35MwSFIWWV1DPYss6rP1DWwbz3MeMm6Rdc9UhBUba2CoALbmJrFuAXb+XNNClv35xz1u3pVQulSP4ZG8RE0iAujQWwYUSFn/iE9I7eAJdsPsmhrGgu3HWDJ9oNk5hYyff1epq/fy5O/rKZ7oypc0qYGvZrEEuTvOtu3JyIiYl5hHmyaWvzB/zfISz/yu8AIa2ZG1VbWZ65qrSG6HjjL9077ZaoISEpK4rfffjvqvkmTJpGUlARAQEAA7dq1Y/LkySULjN1uN5MnT2bYsGG+jus9/sFQo711Oyw3A9ZPgNU/wYZJkLYZZr1q3So3gE7DoOXV4B9kLreUmiK3h6lrU/lk7lZmbthXcr+/y0HHupXp2TiWno1jqVU5tFRfNyLIn3MbVuHchlUAKCxys2ZPJnM37+PnZbtZuSuDP9ek8ueaVMID/ejfIp7L2yXQoXYlHCpERUSkvMnYDfPegUWfHP3BPywOmlxkfdlasxO4ytRH5lLh1d2BsrKy2LhxIwBt2rThlVdeoUePHkRHR1OzZk1GjhzJrl27+PTTTwFri9DmzZtz5513ctNNNzFlyhTuuusufv31V/r27QtYW4Ref/31vPfee5xzzjm89tprfPPNN6xdu/YfawWOp9zvDpSXCRsmWgXB+olH5qWFxkLirdBhiNWKknInPaeAbxbu4LN529ieZn3r73BA7yZxXNa2Ol0aVCEs0Nx/iDakZPLDkl38tHT3UesP2teqxF29GtC1QYyKARERKftS18CcN2H5N+AusO4LrwZNB1gf/BMSwVk+u92n+jnXq0XAtGnT6NGjxz/uv/766/n444+54YYb2Lp1K9OmTTvqOffccw+rV6+mRo0aPProo9xwww1HPf+tt97ipZdeIjk5mdatW/PGG2+QmJh4yrnKfRHwd3mZsPgzmDsaMnZa9/mHQtvBkHQHRNU0m09OycGcfN6aspEv5m/nUEERAJHB/lzVIYHrOtYiITrEcMKjud0eFmxN4/vFO/lx6W7yC90AtEqI4t+96tOjUayKARERKVs8Htg2G2a/ARuOnEFFzU7Q+d/QoE+5n+IDZaQIKKsqVBFwWFEBrPoBZr8OKcXnLDhc0OFm6DFSnYEyKq+wiM/mbuPNKRtJP2R9E9E4PpzrO9VmYOvqBAeU/W8hUjJyeX/GZr6Yv43cAqsYaF49guE9G3BekzjtLCQiIuYlr4QJD8HWmcV3OKzpPp3/ffT06wpARcAJVMgi4DCPBzZNsYqBLdOt+4KjoddjVnegnLa2KhqPx8NvK5J5YcLakmk/DePCGNm/Cd0bVSmX36LvzcxjzMzNfDZvGzn5VjejQ+1KPHNJCxrGhRtOJyIitpSTBlOfhYUfgscNrkBoMwiShkHleqbTeYWKgBOo0EXA322aalW9e4vPUKjaCvq/CDU7ms1lc4u2HeCZX1ezePtBwNrS897zGnJ5uxr4ucp/GzItO58PZ21m7KytHCoows/p4OaudbmrV31CAirewioRESmD3EWw6GOY8jQcSrPua3ox9Hm6wk+VVhFwArYpAsCaJvTXGJj63JFV7y2uhPOehIiqZrPZTG5BES9MWMtHs7cCEOzv4pZudbmlW11CDS729ZZdBw/xxM+rmLja2tK3elQwTw1sRs/Gp7aAX0RE5Ixsmwu/328d6gVQpQn0fwHqnms2l4+oCDgBWxUBh2XthSlPWouI8ViHWFz0OjQbaDiYPSzZfoB7v13G5r3ZAFzergb3921EXETF39J10uoUHv9pJbvTcwHo1yyexwc0pWpksOFkIiJSoRTmweQnYe5b1l8HRUKP/0D7IRVyi8/jURFwArYsAg7btRjG32MdQAbQ+lqrOg4s+8dbl0d5hUW8MXkD70zbhNsDseGBvHB5S3o0ijUdzaey8wp5Y/IGxszaQpHbQ3iQHy9d3pJ+zdWNEhGRUrB3HfxvyJFv/9tcC72fgNAYs7kMUBFwArYuAsCaIjT1WeugMTzW6cOXjoEa7Uwnq1BW785gxDdLWZucCcDA1tX474BmZ3Wib3m3Zk8GD32/gmU7DgJwfVItRp7fRCcPi4jImfF4rEW/f/wHCnMhpDIMeAsan286mTEqAk7A9kXAYVtnwfe3WucLOFzWVqJdRmgHobPk8Xj4aPZWnvt9DQVFHqJDA3hmYHP6t9C33gAFRW5GTVzHe9M3A9CsWgRvXdOWOjGle/qxiIhUcNn74KdhsP5366/r9YSB70B4vNlchqkIOAEVAX9z6IA1PWjVD9Zf1+oMl38E4Vq8eSZyC4p4+IcVfL94FwB9msbx7KUtiAkLNJys7Jm6LpV7v1lGWnY+oQEunr20BRe3rm46loiIlAdbZsJ3N0F2KrgCrKk/ibdViMO+zpaKgBNQEfD/eDyw7Cv47X7Iz4KIGvCvr6BqS9PJypXdBw9x2+eLWL4zHZfTwcPnN+GmzrXL5Z7/vpKcnstd45awYIu1fdtV7RN44uJmmh4kIiLHt3Cs9ZnFXWjt/HPZGIhvbjpVmaEi4ARUBBzH/k3w5VWwfwP4h8Cl71un6clJLdiSxh1fLGJfVj6VQvx565q2dK5vv8VIZ6KwyM0bUzby5pQNeDzQtmYUHwxuT2V1T0RE5O+KCmHif2D+u9Zft7gCBrwJ/tpt7u9O9XOueiZyROV6cPOfULcHFOTA19fCjFFWp0COyePx8Nm8bVzzwTz2ZeXTpGoEPw/rogLgNPi5nIw4ryGf3ZRIRJAfi7cf5JK357Bpb5bpaCIiUlYcOghfXnmkAOj5KFz6gQqAs6AiQI4WHAWDvoNzbrH+espT8P0tUJBrNFZZVFjk5uEfVvLojyspdHu4sGVV/nd7EgnRIaajlUtdGsTw/R2dSIgOZntaDpe+PYf5m/ebjiUiIqbt3wQfngebJlszFa78DLrdB5pue1ZUBMg/ufzg/JfgglesXYNWfAOfXAiZKaaTlRm5BUXc8cVivlqwHacDHurfmDf/1YaQAPscRuIN9WPD+eGOzrROiCL9UAHXfbiAn5buMh1LRERM2TITxvSCfeshojrcNAGaDjCdqkJQESDH12EIXPe9dbrwzr9gbF84uN10KuMycwu48aO/mLg6hQA/J+9c247bzq2nBcClJCYskK+GdqR/83jyi9z8e9xS3py8ARsuXxIRsbc14+HzS62dDKu3h6FToGor06kqDBUBcmJ1u8PNkyGqFhzYAmP7W205m9qflcc1H8xn7ub9hAX68fGNHejbzN77EXtDcICL0de05ZZudQF4edJ6Hv5hBW63CgEREVtY/i18MxiK8qHJALhhvO33/y9tKgLk5GLqw42/Q+UG1sFiY/tBymrTqXxu18FDXPHeXFbsSic6NICvhnakUz0tAPYWZ/E2q08NbI7TAV8t2MH93y2nSIWAiEjFtugT+H4oeIqg1TXW+UVaAFzqVATIqYmsbhUCcc2tgzk+vgB2LzGdymc2pmZx+Ttz2Lw3m2qRQXx7WxItakSajmUL13WsxetXt8HldPC/xTu595ulFBa5TccSERFvmPcO/HIX4IH2Q+Di0dZaRSl1KgLk1IVVget/gert4FAafDIAts8zncrrVu/O4Ip357AnPZd6VUL57vZO1KsSZjqWrVzUqhpv/qsNfk4HPy7dzT3fLFMhICJS0cwYBRMessad7oILXtYJwF6kv7NyekKiYfBPUKsz5GXAZ5fA5mmmU3nNhpRMrv1wPgdyCmhZI5Jvb+tEtSi1JE04v0VVRg9qi7/LwS/LdnPXuCUUqBAQESn/PB748wlrW3KA7g/DeU9qC1AvUxEgpy8w3DpLoF4v61CxL660tvCqYLbuy2bQmPmkZefTonokn9+cSHRogOlYtta3WTzvDGpHgMvJbyuSGfblYvILVQiIiJRrU56CWa9Y4z5PQ/cHVQD4gIoAOTMBIfCvr6BhfyjKg6+uhl2LTacqNTsP5DBozHxSM/NoHB/OpzedQ0SQv+lYAvRuGsd717UjwM/JH6tSuOOLRSoERETKq1mvwcyXrfH5o6DTcKNx7ERFgJw5v0C44mOo3RXys+DzyyB1relUZy0lI5dBY+az6+Ah6lYJ5bMhiVRSB6BM6dE4ljGD2xPo5+TPNanc9+0ybR8qIlLeLPwI/nzcGvd+As4ZajaPzagIkLPjH2R1BA4vFv5sIBzYajrVGduXlcc1H8xj2/4cakaH8OXNHakSHmg6lhxDt4ZVeO+6dvg5Hfy8bDdP/bpaB4qJiJQXK/8H4++xxl3ugS53G41jRyoC5OwdXiNQpQlk7oFPB0JmsulUp+1gTj7XjpnPpr3ZVI0M4oubE4mPDDIdS06ge6NYRl1hnR750eytvD3NvgfZiYiUG+snwve3YG0DehP0etx0IltSESClIyQarvsBKtW2Thb+7BLISTOd6pTlFhRx48d/sTY5kyrhgXw5tCMJ0SGmY8kpGNimOo9d2BSAl/5Yx7gF2w0nEhGR49o6G765DtyF0PxyOP9lLQI2REWAlJ6IqnDdjxAWD6mr4YsrIC/LdKqTcrs93PP1UpZsP0hksD9f3JxInZhQ07HkNNzUpQ53dK8HwMM/rOCPVeWvEyUiUuHtXgJfXgWFudCgL1zyrs4BMEh/56V0RdeBwT9CcCXYtRC+uwncRaZTndDzE9by+8pkAlxO3r+uHQ3jwk1HkjNwf99GXNU+AbcHhn+1hPmb95uOJCIihx3cbm0pnp8JtbrAlZ+AS7vumaQiQEpfbBNrjYBfEGz4AyY+YjrRcX02dyvvz9gMwEtXtCSxbmXDieRMORwOnrmkOX2axpFf6ObmTxayZk+G6VgiIpKbAV9eDdmpENfc2lDEXwdvmqYiQLyjRnurzQcw7234a4zZPMcwZW0Kj/+8CoD7+jTk4tbVDSeSs+XncvLGv9pwTu1oMvMKGfLxX+zNzDMdS0TEvooK4X9DIHUVhMbCv8ZBUITpVIKKAPGmZpdAz+IuwG8PwMY/zeb5m5W70hn25RLcHriyfQ3u7FHfdCQpJUH+Lj64vj11q4SyOz2XWz9bSF5h2Z6SJiJSYU38D2yYaM0O+Nc4iEownUiKqQgQ7+p6H7T6F3iK4NsbIXWN6UTsOniImz7+i5z8IrrUj+GZS1rg0M4EFUpksD9jBrcnIsiPxdsPMvL7FTpDQETE1xZ8APOLZwVc8h7UaGc2jxxFRYB4l8MBF70ONTtBXgZ8eSVk7TUWJyuvkJs++ovUzDwaxYXz9rVt8XfpX4OKqG6VMEYPaovL6eD7xbv4YOZm05FEROxj45/w+4PWuOej0Gyg0TjyT/r0I97nFwhXfQ6V6li7A4y7BgpyfR7D4/Fw3zfLWJeSSWx4IGNv7EBEkHYmqMi6NqhScobAc7+vZcraFMOJRERsIHWN1f33FEGra6DrvaYTyTGoCBDfCK0M13wDQZGwcwH8PBx8PD3j7WmbmLAqGX+Xg3eva0f1KO1MYAeDk2pxTWJNPB6466ulrE/JNB1JRKTiyt5vdf3zMqxZABe9psPAyigVAeI7VRrClZ+CwwUrvoEF7/vspaev38uoiesAePLi5rStWclnry1mORwOnhjQjI51o8nKK+TmTxaSlp1vOpaISMXjLrJ2Ajq43er+X/W5NRtAyiQVAeJbdbtDn6es8R8Pw/b5Xn/J7ftzuOurJXg88K9zEvjXOTW9/ppStvi7nLwzqB01o0PYnpbD7Z8vorDIbTqWiEjFMu052DwV/ILh6i+sWQBSZqkIEN/reIe1fai7EL69HrJSvfZSOfmF3PLZQtIPFdA6IYr/DmjmtdeSsq1SaAAfXt+esEA/5m9J46XizpCIiJSCdRNgxkvWeMAbEKf/35Z1KgLE9xwOGPAmxDSEzD3w3U3WYSKlzOPx8ND/VrA2OZOYsADeubYtgX6uUn8dKT8axIXz0uUtAXhv+mYmrdZCYRGRs5a2BX64xRp3GAotrzSbR06JigAxIzDcmisYEAZbZ8KUJ0v9JT6ctYWfl+3Gz+lg9DVtqRqphcAC/VtU5cbOtQG495ul7EjLMRtIRKQ8KzgE31wHuelQowP0fdZ0IjlFKgLEnCqN4OK3rPHs12HNL6V26Xmb9/Pc72sB+M8FTUisq3mJcsTI/k1oUzOKjNxC7vxysU4UFhE5Ex4P/HovJK+AkBi44hPwCzCdSk6RigAxq9kl0PFOa/zD7bBv41lfcn9WHnd9tYQit4dL2lTnhk61z/qaUrEE+Dl565q2RIX4s3xnOk+PN3+StYhIubPoY1j6BTiccPlYiKxuOpGcBhUBYt55T0DNJMjPhK+vhfzsM76U2+3h3m+XkZqZR/3YMJ65pDkO7U8sx1A9KphXr2oNwGfztvHT0l1mA4mIlCe7FsPvD1jjno9C3XPN5pHT5pMiYPTo0dSuXZugoCASExNZsGDBcR/bvXt3HA7HP24XXHBByWNuuOGGf/y+X79+vngr4g0uf7jiYwiLg71rYMJDZ3ypsbO3MG3d3uJvetsQEuBXejmlwunRKJZhPeoDMPL7FWxM1UFiIiInlZsB390IRfnQ+ELoco/pRHIGvF4EfP3114wYMYLHH3+cxYsX06pVK/r27Utq6rG3hfz+++/Zs2dPyW3lypW4XC6uuOKKox7Xr1+/ox731VdfefutiDeFx8NlYwAHLP4UVv142pdYtuMgL0yw1gE8dmFTGsdHlG5GqZDuOa8hSXUrk5NfxO2fLyYnv/R3qhIRqVB+ux8ObIXImnDxaJ0IXE55vQh45ZVXGDp0KDfeeCNNmzbl3XffJSQkhLFjxx7z8dHR0cTHx5fcJk2aREhIyD+KgMDAwKMeV6mSToAt9+p0O/Jtwi93wcEdp/zUzNwChn+1hIIiD/2bxzMoUQeCyalxOR28/q/WVAkPZENqFk+NX206kohI2bX8G1g+zloHcNkHEBxlOpGcIa8WAfn5+SxatIjevXsfeUGnk969ezN37txTusaHH37I1VdfTWho6FH3T5s2jdjYWBo1asTtt9/O/v37j3uNvLw8MjIyjrpJGdXjYajeztpq7PtbrCPIT8Lj8fDwDyvZnpZD9ahgnr+0pdYByGmJDQ/i9atb43DAVwt2MGFlsulIIiJlT9oWGD/CGp/7INTsaDaPnBWvFgH79u2jqKiIuLi4o+6Pi4sjOfnk/5NdsGABK1eu5Oabbz7q/n79+vHpp58yefJkXnjhBaZPn07//v0pKjr2B8bnnnuOyMjIkltCQsKZvynxLpe/NS0oIAy2z4GZr5z0Kd8u3Mkvy3bjcjp4419tiAzx90FQqWg61Yvhlq51ARj5/XJSMnINJxIRKUOKCuB/N1ubeNRMgq73mU4kZ6lM7w704Ycf0qJFC84555yj7r/66qsZMGAALVq0YODAgYwfP56//vqLadOmHfM6I0eOJD09veS2Y8epTzMRA6LrwgUvW+Npz8GO4y8k35iayWM/rwTg3j4NaVdL08LkzI3o05Bm1SI4kFPAfd8uw+32mI4kIlI2THsedi2EwEi49H1waeON8s6rRUBMTAwul4uUlJSj7k9JSSE+Pv6Ez83OzmbcuHEMGTLkpK9Tt25dYmJi2Ljx2HvMBwYGEhERcdRNyrhWV0OLK8FTBP8bYk0P+n/yCosY9uUScgvcdKkfw23d6hkIKhVJoJ+L169uTaCfk5kb9vHRnK2mI4mImLd1Fsws/nLuotcgSuvuKgKvFgEBAQG0a9eOyZMnl9zndruZPHkySUlJJ3zut99+S15eHtdee+1JX2fnzp3s37+fqlWrnnVmKUMueBmiasHB7dYcRM/R38q+OmkDa5MzqRwawCtXtcLp1DoAOXv1Y8N55MKmALwwYS1rk7WGSERsLCfNWqOHB9pcC80vNZ1ISonXpwONGDGCDz74gE8++YQ1a9Zw++23k52dzY033gjA4MGDGTly5D+e9+GHHzJw4EAqV6581P1ZWVncf//9zJs3j61btzJ58mQuvvhi6tevT9++fb39dsSXgiLgsg/B4YKV38GycSW/Wrg1jfdmbALg2UtbEBseZCqlVEDXJtakV+NY8gvd/PurpeQWnHyBuohIhePxWLv1ZeyCyvWh3wumE0kp8noRcNVVVzFq1Cgee+wxWrduzdKlS5kwYULJYuHt27ezZ8+eo56zbt06Zs2adcypQC6Xi+XLlzNgwAAaNmzIkCFDaNeuHTNnziQwMNDbb0d8LaED9CguEn9/ANJ3kp1XyL3fLsPjgcva1qBvsxNPLRM5XQ6Hgxcub0lMWADrUjJLzp8QEbGV5d/Aml/A6W99KRcYZjqRlCKHx+Ox3cq3jIwMIiMjSU9P1/qA8sBdBGP7ws6/oF5PHgl7gs/n76BaZBAT7ulGRJB2AxLvmLo2lRs//guAT246h3MbVjGcSETERzJ2w9sdrTV5PR+FbtoNqLw41c+5ZXp3IBEAnC4Y+A74BcGmKbgXfgzAS1e0UgEgXtWjcSyDk2oBcP+3y0jPKTCcSETEBzwe+PkuqwCo1hY63206kXiBigApH2IacKjbIwD8x+9z7m4XQOf6MYZDiR08fH4T6saEkpqZx1O/6jRhEbGBJZ/BxkngCoRL3tV2oBWUigApNx7e1Yn57saEOvIYnvkauN2mI4kNBPm7ePHyljgc8N2inUxdm2o6koiI9xzcARMetsY9H4EqjczmEa9RESDlwm8r9vDDsmQeLLiVIr9gXNtnwV8fmI4lNtG+djRDOtcBYOT3K0g/pGlBIlIBeTzw8zDrVOCEREi603Qi8SIVAVLm7c3M4z8/rADgwu6dcfV5yvrFpMdh/yaDycRO7u3TiDoxoSRn5PKMpgWJSEW08EPYPA38guHit601eVJhqQiQMu/xn1dyIKeAplUjuKtXA2g/BOp0g8JD8OMd1u5BIl4WHHBkWtA3C3cybZ2mBYlIBZK2BSY+Zo17Pw4x9c3mEa9TESBl2h+rkvltRTIup4OXrmhJgJ8TnE64eDQEhMOOeTDvbdMxxSY61I7mxk5HpgVl5GpakIhUAG43/DQMCrKhVhc451bTicQHVARImZV+qIBHf1wJwK3d6tKsWuSRX0bVhL7PWOPJT8G+jQYSih3d37cRtSqHsCc9l2d/XWM6jojI2ftrDGybBf6hcPFb1pdtUuHpn7KUWc/9tobUzDzqxoRa04D+v7aDoV5PKMqD8XdbC5pEvCw4wMVLl7fC4YBxf+1gxvq9piOJiJy59J0w+QlrfN4TEF3HbB7xGRUBUibN2bSPcX/tAOD5y1oS5H+MxUkOB1z4qrWAaetMa19jER84p0401yfVBuCh/y0nU9OCRKQ88njg1/sgP8vaDaj9ENOJxIdUBEiZcyi/iJHfW7sBXduxJufUiT7+gyvVhh7F+xlPfASytFhTfOOBfta0oN3pubw8cb3pOCIip2/1j7D+d3D6w0WvaxqQzeiftpQ5r/25nm37c6gaGcSD/Rqf/Akd74CqrazjzX9/0PsBRYCQAD+eGdgCgE/mbmXpjoNmA4mInI5DB+C3B6xxl3sgtonZPOJzKgKkTFmxM50PZm4G4OmBzQkP8j/5k1x+cNEb4HDBqu9h/R9eTili6dIghkvaVMfjsXYLKizSKdYiUk5MehyyU6FyA+h6r+k0YoCKACkzCorcPPC/5bg9cFGravRqEnfqT67WGpLusMbjR0Beplcyivx/j1zQhKgQf9bsyWDs7C2m44iInNzWWbD4E2s84A3wDzKbR4xQESBlxvszNrNmTwZRIf48flHT079A94chqhZk7IQpz5R+QJFjqBwWyMP9rTb6q5M2sCMtx3AiEZETKMiFX/5tjdvdALU6GY0j5qgIkDJhR1oOb0zeAMBjFzYlJizw9C8SEGLtFgQw/13YuagUE4oc3xXta5BYJ5pDBUU89tNKPNquVkTKqpmjYP9GCIuD3k+YTiMGqQgQ4zweD4//vIq8Qjed6lXmkjbVz/xi9XtBy6sAD/w8HIq0daN4n8Ph4JlLWhDgcjJ13V5+XbHHdCQRkX9KWQ2zir8s6/8iBEcZjSNmqQgQ4yauTmHK2lT8XQ6evLg5Dofj7C7Y91kIjobUVTD3rdIJKXIS9WPDuL17PQCe+GU16YdUgIpIGeJ2W9OA3IXQ6HxoerHpRGKYigAxKjuvkCd+XgXArd3qUT827OwvGhpjFQIA01+EgzvO/poip+COHvWoGxPK3sw8Xpyw1nQcEZEjln4BOxeAfyicP8o6cFNsTUWAGPXG5A3sTs+lRqVg7uxRv/Qu3OpqqNkJCnLgj4dL77oiJxDo5+KZS6yzA76Yv51F29IMJxIRAXLS4M/HrXH3hyDyLKbdSoWhIkCMWZecyYezrC0VnxjQjOAAV+ld3OGAC0ZZZwes+Rk2/ll61xY5gaR6lbmiXQ0A/vPDSp0dICLmTXkKcvZDlcbQ8XbTaaSMUBEgRng8Hh79cSWFbg99msad3pkApyquGSTeZo1/u9/aFk3EB0ae34TIYH/WJmfyxfztpuOIiJ3tWgwLP7LG548C1ykcwim2oCJAjPjf4l0s2JpGsL+Lxwc0894LdX8IwuIhbTPMedN7ryPyN9GhAdzXtxEAoyauY19WnuFEImJL7iL49V7AAy2uhDpdTSeSMkRFgPjcwZx8nv1tDQD/7t2A6lHB3nuxoAjoW3xw2MxRcGCr915L5G+uOacmzatHkJlbyAu/a5GwiBiw+FPYvRgCI6DP06bTSBmjIkB87sU/1pGWnU+D2DBu6lzH+y/Y/DKo3RUKc+H3h7z/eiKAy+ngiQHNAfh20U4WbTtgOJGI2Er2fphcfBhYj4ch3AvTbqVcUxEgPrVsx0G+WmDNkX56YHMC/HzwR9DhgAteBqc/rP8d1v3u/dcUAdrVqlSySPjxn1dS5NZJwiLiI5P/C4cOQFwL6DDUdBopg1QEiM+43R7++8sqPB64pE11EutW9t2LV2kESXda498fhIJDvnttsbUH+zcmPMiPlbsySgpgERGv2vGXNRUIrJ3yXH5m80iZpCJAfOaHJbtYsv0gIQEuHurf2PcBut0PEdXh4DaY+YrvX19sKSYskHvPawjAS8VT4UREvMZdBL+OsMatB0HNjmbzSJmlIkB8IiuvkOeLT1Ad3rMBcRFBvg8RGAb9nrPGs1/XImHxmWs71qJxfDjphwp46Q8tEhYRL1r8CSQvh6BI6P2E6TRShqkIEJ94a8pG9mbmUbtyCDd1qW0uSJMBUOdcKMqDiY+ayyG24udy8tRAa5HwuL92sGzHQbOBRKRiOnQAJj9ljXv8B8KqmM0jZZqKAPG6Lfuy+XDWZgAeuaApgX6leDLw6XI4oN/z4HBaJwlvmWkui9hKh9rRXNqmOh4PPPbTStxaJCwipW36i3AozToZuP1NptNIGaciQLzu6fGrKSjycG7DKvRqEms6DsQ1hfZDrPGEh6z5kyI+8ND5jQkL9GPZznR+WLLLdBwRqUj2rocF71vjfs/pZGA5KRUB4lVT16UyeW0qfk4Hj17YFIfDYTqSpcfDEBQFKSut+ZMiPhAbHsSwnvUBePGPtWTnFRpOJCIVxh8Pg7sQGp0P9XqaTiPlgIoA8Zr8QjdP/bIagBs716Z+bJjhRH8TEm0VAmDNnzykg5zEN27sXJua0SGkZOTx7vRNpuOISEWwfiJsnGSdh6OTgeUUqQgQr/lkzlY278smJiyA4b0amI7zT+1vsuZNHkqz5lGK+ECgn4uHz28CwPszNrPzQI7hRCJSrhXmwx8jrXHH26FyPbN5pNxQESBekZqZy+uTNwDwQN/GRASVwbmJLv8jW4YueN+aTyniA32bxdGxbjR5hW5emLDOdBwRKc/++gD2b4TQKtZ5OCKnSEWAeMXLf6wnK6+QljUiubxdDdNxjq9eT2v+pLvQmk8p4gMOx+E1MvDLst0s2pZmOpKIlEdZe2HaC9a41+MQFGE2j5QrKgKk1K3encE3i3YA8PhFTXE6y8hi4OPp87Q1j3LjJGtepYgPNKsWydUdEgB44pfV2jJURE7f1KchLx2qtrJOBxY5DSoCpFR5PB6e+W01Hg9c0LIq7WpFm450cpXrWfMowZpXWZhvNo/YxojzGhEW6MdybRkqIqdrz3JYVLy7Xb8XwKmPdHJ69CdGStXUdanM3rifAJeTh/o1Nh3n1HW735pPuX8j/DXGdBqxiSrhgdoyVEROn8dTPIXVA80vg1pJphNJOaQiQEpNQZGbZ35dA1jbICZEhxhOdBqCIqDnI9Z4xovaMlR8RluGishpW/8HbJ0JrkDo/V/TaaScUhEgpWbcgu1s2ptNpRB/7uhR33Sc09f6WqjSxCoAZr5sOo3YhLVlqNU105ahInJSRYUw6VFr3PF2iKppNo+UWz4pAkaPHk3t2rUJCgoiMTGRBQsWHPexH3/8MQ6H46hbUFDQUY/xeDw89thjVK1aleDgYHr37s2GDRu8/TbkBDJyC3j1T+ufwT3nNSQyuAxuCXoyLr8jh6zMfw8ObDUaR+yjb7P4ki1DR/2hLUNF5AQWfwL71kNIZeg6wnQaKce8XgR8/fXXjBgxgscff5zFixfTqlUr+vbtS2pq6nGfExERwZ49e0pu27ZtO+r3L774Im+88Qbvvvsu8+fPJzQ0lL59+5Kbm+vttyPH8fbUTaRl51O3Sij/OqccfytRvxfU7QFF+TD5SdNpxCYcDgePXNAUgB+X7mbFznTDiUSkTMrNgGnF59t0HwlBkWbzSLnm9SLglVdeYejQodx44400bdqUd999l5CQEMaOHXvc5zgcDuLj40tucXFxJb/zeDy89tprPPLII1x88cW0bNmSTz/9lN27d/Pjjz8e83p5eXlkZGQcdZPSsyMth7GztgDwn/Ob4O8qx7PMHA7o8xTggJX/g50LTScSm2hePZKBrasB8Oxva/B4tGWoiPw/s1+H7L1QuT60u8F0GinnvPppLT8/n0WLFtG7d+8jL+h00rt3b+bOnXvc52VlZVGrVi0SEhK4+OKLWbVqVcnvtmzZQnJy8lHXjIyMJDEx8bjXfO6554iMjCy5JSQklMK7k8Ne/GMd+UVuOtWrTM/GsabjnL34Fkf2W574iLULg4gP3Ne3EQF+TuZu3s/UdcfvloqIDaXvgrlvWePznrROvRc5C14tAvbt20dRUdFR3+QDxMXFkZycfMznNGrUiLFjx/LTTz/x+eef43a76dSpEzt37gQoed7pXHPkyJGkp6eX3Hbs2HG2b02KLd5+gF+W7cbhgP9c0ASHo4wfDHaqev4H/IJh+1xY84vpNGITNSqFcGOn2gA899taCovcZgOJSNkx5SkozIVana2T7kXOUpmbt5GUlMTgwYNp3bo15557Lt9//z1VqlThvffeO+NrBgYGEhERcdRNzp7H4ynZEvTytjVoVq0CzU2MqAadhlvjPx/XAWLiM3f0qE9UiD8bUrP4btFO03FEpCzYvRSWjbPGfZ6ypq6KnCWvFgExMTG4XC5SUlKOuj8lJYX4+PhTuoa/vz9t2rRh48aNACXPO5trSun4Y1UKi7YdINjfxX19G5mOU/o63wWhsZC2GRYefw2LSGmKDPZneM8GALwyaT05+TpATMTWPB5raioeaHEFVG9nOpFUEF4tAgICAmjXrh2TJ08uuc/tdjN58mSSkk7tdLuioiJWrFhB1apVAahTpw7x8fFHXTMjI4P58+ef8jXl7BUWuXnxj7UA3Ny1DnERQSd5RjkUGA49HrbG05+HQweNxhH7uLZjTRKig0nNzOODGVtMxxERkzZMPHIwWM9HTaeRCsTr04FGjBjBBx98wCeffMKaNWu4/fbbyc7O5sYbbwRg8ODBjBw5suTxTz75JBMnTmTz5s0sXryYa6+9lm3btnHzzTcD1s5Bd999N08//TQ///wzK1asYPDgwVSrVo2BAwd6++1IsW8W7mTz3myiQwO4pVtd03G8p811UKWxDhATnwr0c/FAX+sAsfdmbCI1U9sfi9hSUSFMPHww2G1QqZbZPFKh+Hn7Ba666ir27t3LY489RnJyMq1bt2bChAklC3u3b9+O03mkFjlw4ABDhw4lOTmZSpUq0a5dO+bMmUPTpk1LHvPAAw+QnZ3NLbfcwsGDB+nSpQsTJkz4x6Fi4h05+YW89ud6AIb3rE94UAXeocDlB+c9BV9eYR0glngrRNYwnUps4MKWVRkzawvLdhzk9T838MwlLUxHEhFfW/Yl7FsHwdHQRQeDSelyeGy4GXVGRgaRkZGkp6drkfAZeGvKBkZNXE9CdDB/jjiXQD+X6Uje5fHAxxfCtlnQ5lq4eLTpRGITC7akceV7c3E5Hfxxdzfqx4aZjiQivlJwCN5oC5m7oe+zkHSn6URSTpzq59wytzuQlG1p2fm8O30zAPf1aVTxCwCwdmHo/V9rvPRLSF1rNI7Yxzl1ojmvaRxFbg/P/64/dyK2Mv89qwCITID2Q0ynkQpIRYCclrembCQrr5Bm1SK4qGU103F8J6EDNLkIPG6Y/KTpNGIjD/ZrjMvp4M81KSzalmY6joj4wqEDMOsVa9zjP+Cv6c5S+lQEyCnbkZbDZ/O2AvBQ/8Y4nTbbp7jnY+BwwrpfYft802nEJurHhnFFO2sdygu/r8OGMzhF7GfWa5CbDrFNoeWVptNIBaUiQE7ZyxPXUVDkoWuDGLo2qGI6ju9VaWitCQDrADF9GBMf+XfvBgT6OVmwNY1p6/aajiMi3pS+C+a/a417PQ5OG0y7FSNUBMgpWbkrnR+X7gas6Qm21X0k+AXB9rmw/g/TacQmqkYGc0On2gC8MGEtbrcKUJEKa/rzUJgLNZOgYV/TaaQCUxEgp+SFCdaixItbV6N59UjDaQyKqAaJt1njyU+Au8hsHrGN27vXIzzIj7XJmfyyfLfpOCLiDXvXw5LPrXHvJ6yNKUS8REWAnNTsjfuYuWEf/i4H9/VpZDqOeV3uhqBISF0Ny78xnUZsIiokgNvOrQfAyxPXk1/oNpxIRErdlCetDSgaXQA1E02nkQpORYCckMfj4cU/1gEwKLEWCdEhhhOVAcGVjhzaMvUZKNBpruIbN3auTZXwQLan5TDur+2m44hIadrxF6z5xdqAotdjptOIDagIkBOauDqFZTsOEhLg4s4e9U3HKTsSb4XwapC+AxZ+aDqN2ERIgB939WoAwBuTN5KdV2g4kYiUCo8H/vyvNW59DcTaeO2d+IyKADmuIreHUcVdgJs616FKeKDhRGWIfzD0GGmNZ4yytnIT8YGrOyRQq3II+7Ly+Gj2FtNxRKQ0bPzTOpXeFWhtQCHiAyoC5Lh+WrqLDalZRAb7M7RbXdNxyp5W10BMQziUBnPfNp1GbMLf5WTEeQ0BeG/6Zg5k5xtOJCJnxf23QyjPGQqRNczmEdtQESDHlF/o5tU/1wNw27n1iAz2N5yoDHL5WSc5AswdDdn7zeYR27ioZTWaVo0gM6+Qt6dtNB1HRM7Gmp8heTkEhB9ZbybiAyoC5Ji+/ms7O9IOUSU8sGR/cjmGJgMgviXkZ8LsV02nEZtwOh080M/aqeuTudvYffCQ4UQickbcRdYGEwBJd0JoZbN5xFZUBMg/HMov4o0p1reLd/WsT3CATis8LuffdnFY8AFk7DGbR2zj3IZVSKwTTX6hmzenqBsgUi4t/xr2rbd2nUu603QasRkVAfIPH8/Zyt7MPGpUCuaqDjVNxyn76veGhI7WCY8zR5lOIzbhcDi4r6/VDfh24Q627c82nEhETkthPkx7zhp3uQeCIszmEdtRESBHST9UwLvTNwFwT++GBPjpj8hJORzQ61FrvOhjOLDVZBqxkQ61ozm3YRUK3R5e/3OD6TgicjoWfwIHt0NYHHQYajqN2JA+4clRxszcTPqhAhrEhjGwTXXTccqP2l2gXk9wF8K0F0ynERs5fIr3D0t3sSEl03AaETkl+TnW9tIA3e6HAB3EKb6nIkBK7M3M48NZ1r7j9/ZphMvpMJyonOn5iPVz+TjYu85sFrGNFjUi6dssDo+Hkh29RKSM++sDyEqGqJrQ9nrTacSmVARIibenbSQnv4iWxR8q5DRVbweNLwSP+8huDyI+MOK8Rjgc8NuKZFbu0sF1ImVabgbMKt5N7tyHwC/AbB6xLRUBAsCe9EN8MW87APf3bYTDoS7AGenxH8ABq3+C3UtNpxGbaBQfzoBW1QB4ZZK6ASJl2tzRcOiAddhky6tMpxEbUxEgALw1ZSP5RW7OqRNNl/oxpuOUX3FNocUV1njK02aziK3c3bshLqeDKWtTWbTtgOk4InIsOWlWEQDQ42Hr0EkRQ1QECDvScvhm4Q4A7j2voboAZ6v7Q+D0g42TYNtc02nEJurEhHJ52xoAvDxRa1JEyqRZr1qHS8a3hCYXm04jNqciQHhzygYKijx0qR9DYl2dVnjWKteDNtdaY60NEB+6q3cDAlxO5mzaz5yN+0zHEZG/y0yxDpUE6PmoddikiEH6E2hzW/dl87/FuwC457yGhtNUIN3uB1cAbJ0JW2aYTiM2UT0qmH+dkwDASxPX4fF4DCcSkRKzXoXCQ1CjAzQ4z3QaERUBdvfG5A0UuT10b1SFdrUqmY5TcUTWgHY3WOOpz4I+jImP3NmjPkH+TpZsP8iUtamm44gIQMZuWDjWGvf4j3XIpIhhKgJsbGNqFj8utboAI9QFKH1dRoArELbPhc1TTacRm4iNCOL6pNqAtVOQugEiZcDMV6AoD2p2grrdTacRAVQE2Nprf67H7YHzmsbRskaU6TgVT0RV6DDEGqsbID5067n1CA1wsWp3BhNXp5iOI2JvB3fA4k+scY+H1QWQMkNFgE2tTc5g/PI9gLoAXtX5bvALhp1/wYZJptOITUSHBnBD59oAvPbnBtxuFaAixswcBUX5ULsr1OlqOo1ICRUBNvVq8YFCF7SoSpOqEYbTVGDhcXDOzdZ46jPqBojPDO1al7BAP9bsyeCPVcmm44jY04GtsORza9zjP0ajiPx/KgJsaOWudP5YlYLDAXf3bmA6TsXX+W7wD4U9S2Hd76bTiE1EhQRwk7oBImbNeAnchVCvJ9RKMp1G5CgqAmzoleIuwMWtqtEgLtxwGhsIjYHEW6zx1GfB7TabR2xjSJe6hAf5sS4lk99W7jEdR8Re9m+CpV9Z4+4Pm80icgwqAmxm6Q5r20CnA+7qpS6Az3S6CwLCIWUFrP3FdBqxicgQf4Z0qQPA639a2wGLiI9MfxE8RdCgDyR0MJ1G5B9UBNjMa39aXYBL2tSgbpUww2lsJCQaOt5ujac+p26A+MxNXeoQEeTHhtQsxi/fbTqOiD3sXQ8rvrHG3UeazSJyHCoCbGTJ9gNMW7cXl9PB8J71Tcexn6Q7IDAS9q6B1T+YTiM2ERHkz9CudQF4fbK6ASI+Mf0F8Lih0QVQva3pNCLHpCLARl77cwMAl7SpTu2YUMNpbCi4EiTdaY2nPQ/uIrN5xDZu6FybqBB/Nu/N5udlu0zHEanYUtfCyv9Z4+4Pmc0icgIqAmxi8fYDTF+vLoBxHW+DoCjYtx5WqRsgvhH+t27AG5M3Ulik6WgiXjP9BcADTS6Cqi1NpxE5LhUBNvF6cRfg0jbVqVVZXQBjgiKPdAOmv6hugPjM9Z1qEx0awJZ92fy4VGsDRLwide2RL3jOVRdAyjYVATbw9y7AMHUBzEu81SoG9q1TN0B8JizQj1u6He4GbKBA3QCR0jfjRUq6APHNTacROSEVATbwmroAZUtQJCQNs8bqBogPDU6qReXQALan5fDjEq0NEClVqWth5ffW+NwHzWYROQUqAiq4RdsOMKNkLYDOBSgz/t4NWP2j6TRiEyEBR7oBb03V2gCRUnW4C9D4QohvYTqNyEmpCKjgXp9sdQEua1udmpVDDKeREkGR0PHvawP0YUx847qkWkSHBrBtfw4/aW2ASOnYu05dACl3fFIEjB49mtq1axMUFERiYiILFiw47mM/+OADunbtSqVKlahUqRK9e/f+x+NvuOEGHA7HUbd+/fp5+22UO3/vAgzroS5AmXO4G7B3rboB4jMhAX4lOwWpGyBSSqb/rQugHYGknPB6EfD1118zYsQIHn/8cRYvXkyrVq3o27cvqampx3z8tGnT+Ne//sXUqVOZO3cuCQkJ9OnTh127jp6/2q9fP/bs2VNy++qrr7z9Vsqdw6cDqwtQRgVHQcc7rPH0F9QNEJ8ZnFSLSiH+bNmXzS86RVjk7Oxdd+RcAHUBpBzxehHwyiuvMHToUG688UaaNm3Ku+++S0hICGPHjj3m47/44gvuuOMOWrduTePGjRkzZgxut5vJkycf9bjAwEDi4+NLbpUqVfL2WylXFm1LY+aGffipC1C2Jd5WfIqwugHiO6GBftxc3A14c/JGnSIscjZmvIS6AFIeebUIyM/PZ9GiRfTu3fvICzqd9O7dm7lz557SNXJycigoKCA6Ovqo+6dNm0ZsbCyNGjXi9ttvZ//+/ce9Rl5eHhkZGUfdKrrXJ28E4LK2NdQFKMuCoyDpcDdAawPEd67vVHyK8L5sflmmboDIGdm7HlZ8Z43PfcBsFpHT5NUiYN++fRQVFREXF3fU/XFxcSQnJ5/SNR588EGqVat2VCHRr18/Pv30UyZPnswLL7zA9OnT6d+/P0VFx95q8bnnniMyMrLklpCQcOZvqhxYsv3IWoA7e+hcgDKvpBuwBtb8ZDqN2ERYoB83d6kDwBtTNqgbIHImDu8I1OgCqNrKdBqR01Kmdwd6/vnnGTduHD/88ANBQUEl91999dUMGDCAFi1aMHDgQMaPH89ff/3FtGnTjnmdkSNHkp6eXnLbsWOHj96BGW8U7wh0SRutBSgXgqOg4+3WeJrWBojvXN+pNpHB/mzem814rQ0QOT171x9ZC9BdawGk/PFqERATE4PL5SIlJeWo+1NSUoiPjz/hc0eNGsXzzz/PxIkTadnyxHPs6tatS0xMDBs3bjzm7wMDA4mIiDjqVlEt33mQqev24nSgLkB50vH2v3UDfjadRmwiPMi/pBvw5hStDRA5LTNeAo9bXQApt7xaBAQEBNCuXbujFvUeXuSblJR03Oe9+OKLPPXUU0yYMIH27duf9HV27tzJ/v37qVq1aqnkLs/eKF4LcHHr6tSJ0enA5UZwFHS8zRrPeEndAPGZ6zvXJiLIj42pWfy2Yo/pOCLlw/5NsFJrAaR88/p0oBEjRvDBBx/wySefsGbNGm6//Xays7O58cYbARg8eDAjR44sefwLL7zAo48+ytixY6lduzbJyckkJyeTlZUFQFZWFvfffz/z5s1j69atTJ48mYsvvpj69evTt29fb7+dMm3lrnT+XJOCwwHDeqoLUO4k3gYBYZCyEtb/bjqN2EREkD9DuhTvFDRlA251A0RObubLVhegQV+o1tp0GpEz4vUi4KqrrmLUqFE89thjtG7dmqVLlzJhwoSSxcLbt29nz54j3z6988475Ofnc/nll1O1atWS26hRowBwuVwsX76cAQMG0LBhQ4YMGUK7du2YOXMmgYGB3n47ZdpbU6wuwEUtq1GvSpjhNHLaQqLhnFus8fQXwKMPY+IbN3SuTXiQH+tTsvh95alt2iBiW2lbYNk4a6wugJRjDo/Hfp80MjIyiIyMJD09vcKsD1ibnEG/12bicMAfd3ejYVy46UhyJrL3w2stoCAbrvkGGtq7uyW+8+qk9bw+eQON48P57a6uOJ0O05FEyqaf74LFn0C9XnDd96bTiPzDqX7OLdO7A8mpe7O4C3B+86oqAMqz0MrQYYg1nv6iugHiMzd1rkNYoB9rkzOZtCbl5E8QsaOD22Hpl9ZYpwNLOacioALYkJJZsqBPawEqgE7DwS8Ydi2ETVNMpxGbiAzx5/pOtQBrbYANm8QiJzfrNXAXQJ1uUDPRdBqRs6IioAJ4a+pGPB7o2yyOJlUrxvQmWwuLhfbWwnmtDRBfGtKlLiEBLlbuymDaur2m44iULRm7Ycln1lhdAKkAVASUc5v2ZvHLMuuQn7t6NTCcRkpNp7vAFQg75sOWGabTiE1EhwZwbUerG/D6ZHUDRI4y+3UoyodanaF2F9NpRM6aioBybvSUjbg90LtJHM2qRZqOI6Uloiq0HWyNZ7xkNovYytCudQn0c7J0x0FmbdxnOo5I2ZCZAos+tsbd7jcaRaS0qAgox7btz+bHpbsAuKuX1gJUOF3uBqc/bJ0JW2ebTiM2USU8kGsSawLw5uRjn8IuYjtz3oDCXKhxDtTtbjqNSKlQEVCOvT11E24PdG9UhZY1okzHkdIWWQPaXGuNZ7xoNovYyq3d6hHgcrJgaxrzNu83HUfErKy9sHCsNT73QXBo+1ypGFQElFM7D+Twv8U7ARjeU2sBKqwu94DTDzZPgx0LTKcRm4iPDOLKDjUAeGPyBsNpRAyb+xYU5EC1NlC/l+k0IqVGRUA59d70zRS6PXSqV5l2tSqZjiPeUqkWtLraGk9/wWwWsZXbu9fH3+Vgzqb9LNqWZjqOiBk5afDXGGusLoBUMCoCyqGUjFy+XrgDUBfAFrreCw4nbPwTdi8xnUZsonpUMJe1PdwN0NoAsan570J+FsS3gIb9TKcRKVUqAsqh92dsJr/QTftalehYN9p0HPG26LrQ4gprPGOU2SxiK3d0r4/L6WD6+r0s23HQdBwR38pNh3nvWuNu96sLIBWOioByZl9WHl/M3wbA8F4NcOg/SvbQ9V7AAWvHQ8oq02nEJmpWDmFg6+qAdYqwiK0s+ADy0iGmETS+yHQakVKnIqCc+XDWFnIL3LSsEUm3BjGm44ivVGkETS+2xjNfNptFbOXOHvVwOuDPNams2p1uOo6Ib+Rnw9zR1rjbfeDUxyWpePSnuhw5mJPPp3O2AtZaAHUBbKbbfdbPld/DPn0rK75Rt0oYF7SsBljbEovYwsKxcCjNmo7Z7FLTaUS8QkVAOTJ29lay84toUjWC3k1iTccRX4tvAQ37Ax6Y+YrpNGIjd/aoB8BvK/ewMTXTcBoRLys4BHPetMZdRoDLz2weES9REVBOZOQW8PHsLQAM61FfXQC7Onxc/fKv4cBWo1HEPhrHR9CnaRwej7oBYgNLPoesFIhMgJZXmU4j4jUqAsqJz+ZuIyO3kPqxYfRvHm86jphSox3U6wmeIpj1quk0YiPDetYH4Kdlu9m2P9twGhEvKcyHWa9Z4y53g1+AyTQiXqUioBzIyS9kzMzNQPEiPae6ALZ2uBuw5AtI32U2i9hGyxpRnNuwCkVuD+9OVzdAKqhlX0HGTgiLh9bXmk4j4lUqAsqBL+dv50BOAbUqh3BR8QI9sbFanaBWF3AXwJw3TKcRGxle3A34btFOdh88ZDiNSCkrKoRZxeutOt8F/kFm84h4mYqAMi63oIj3ZlhdgDu618PPpX9kwpGdghZ9DJkpRqOIfbSvHU3HutEUFHl4v/i/SyIVxsrvrLVWIZWh3Q2m04h4nT5RlnHfLtzB3sw8qkUGcUmbGqbjSFlRtztUbw+FuTD3LdNpxEaG92wAwFcLtpOamWs4jUgpcRcdOYMlaRgEhJrNI+IDKgLKsIIiN+9Ot75tu617PQL89I9LijkccO4D1vivDyEnzWwesY1O9SrTpmYUeYVuxszcYjqOSOlY8zPsWw9BkdDhZtNpRHxCnyrLsB+W7GLXwUPEhAVyZfsE03GkrGnQB+JbQkE2zHvHdBqxCYfDwV3F3YDP520jLTvfcCKRs+TxwIziLkDibRAUYTaPiI+oCCijitwe3plm7cBxS7c6BPm7DCeSMsfhgK73WuMF70Fuutk8YhvdG1WhWbUIcvKL+Gi2ugFSzq3/A1JWQECYVQSI2ISKgDLq1xV72LIvm6gQfwYl1jIdR8qqJgMgppFVAPw1xnQasQmHw1GyU9DHs7eSfqjAcCKRM+TxwIyXrHGHIRASbTaPiA+pCCiD3G4Po6dsBOCmznUIDdSR5XIcTid0HWGN546GfB3iJL7Rp2k8DWLDyMwr5LO5W03HETkzW6bDroXgF2QtCBaxERUBZdCfa1JYl5JJeKAf13eqbTqOlHXNL4eoWpCzHxZ9YjqN2ITT6eDOHlY34MNZW8jJLzScSOQMzBhl/Wx7PYTFms0i4mMqAsoYj8fDW1OtLsDgTrWIDPY3nEjKPJcfdLnHGs95AwrzzOYR27iwZVVqRodwIKeAL+dvNx1H5PRsnw9bZ4LT3zocTMRmVASUMTM27GP5znSC/V3c1LmO6ThSXrS+BsKrQeYeWPql6TRiE34uJ7d3rwfA+zM2k1tQZDiRyGmYWdwFaP0viNQ5PGI/KgLKmMNrAa5JrEnlsEDDaaTc8As88k3WrFehSFMzxDcubVudqpFBpGbm8d2inabjiJya3Uthw0RwOKHz3abTiBihIqAMmb95Pwu2phHgcnJLt7qm40h50/Z6CImBg9tg5Xem04hNBPq5Sv579e70TRQUuQ0nEjkFh08Hbn4ZVK5nNouIISoCypDDawGuaF+DuIggw2mk3AkIgaQ7rfHMl8GtD2PiG1d3qElMWAA7Dxzi56W7TccRObHUtdYJwXDkrBURG1IRUEYs23GQmRv24XI6uO1cfSshZ6jDzdax9/vWH/mfnIiXBQe4GNLF6ga8PW0jRW6P4UQiJzDrFetn4wshtonZLCIGqQgoIw53AQa2rk5CdIjhNFJuBUUcOfFy5ijrIBwRH7i2Y00igvzYtDebCSuTTccROba0zbCieLpkt/vMZhExTEVAGbA2OYNJq1NwOOCOHuoCyFlKvA38QyF5hbXwTcQHwoP8ubF4R7O3pm7EowJUyqJZr4GnCOr3hmptTKcRMUpFQBnw9tRNAJzfvCr1qoQZTiPlXkg0dLjJGs9QN0B858bOtQkNcLFmTwZT16WajiNytPRdR7ZQ7qougIiKAMO27stm/HJrIZ26AFJqkoaBKxB2LrAOwxHxgaiQAK7tWAuAN6eoGyBlzJw3wV0AtTpDrSTTaUSMUxFg2DvTNuH2QM/GsTSrFmk6jlQU4fHQ9jprPGOU2SxiK0O61iHQz8mS7QeZu2m/6Tgilqy9sOhja6wdgUQAFQFG7Tp4iP8ttg7XubNHfcNppMLp/G9w+sGW6bBzoek0YhOx4UFc3SEBOLLhgYhx80ZD4SGo1hbq9TSdRqRMUBFg0PvTN1Ho9pBUtzLtalUyHUcqmqia0PJqa6xugPjQLefWw8/pYM6m/SzefsB0HLG7QwdgwRhr3O0+cDjM5hEpI1QEGLI3M49xf+0AYFhPdQHES7rcAw4nrP8dkleaTiM2UT0qmEvbVgdg9BR1A8SwBR9AfibENoWG/U2nESkzVAQYMmbWZvIK3bROiKJTvcqm40hFFVMfmg60xjNfNhpF7OX27vVxOmDy2lRW784wHUfsKi8L5r1tjbveC0597BE5zCf/NowePZratWsTFBREYmIiCxYsOOHjv/32Wxo3bkxQUBAtWrTgt99+O+r3Ho+Hxx57jKpVqxIcHEzv3r3ZsGGDN99CqTqYk8/nc7cBMLxnfRxqTYo3HV4Et+oH2KdvZcU36sSEckHLagCMnqY/d2LIoo+s6UDRdaHZJabTiJQpXi8Cvv76a0aMGMHjjz/O4sWLadWqFX379iU19dh7SM+ZM4d//etfDBkyhCVLljBw4EAGDhzIypVHpjK8+OKLvPHGG7z77rvMnz+f0NBQ+vbtS25urrffTqn4eM5WsvOLaFI1gp6NY03HkYouvnlxC9wDs141nUZs5M7ibY9/W7GHTXuzDKcR2ynItbYFBWtqpNNlNo/YRmGR23SEU+L1IuCVV15h6NCh3HjjjTRt2pR3332XkJAQxo4de8zHv/766/Tr14/777+fJk2a8NRTT9G2bVveeustwOoCvPbaazzyyCNcfPHFtGzZkk8//ZTdu3fz448/HvOaeXl5ZGRkHHUzJSuvkI9mbwWs/0GqCyA+0a34YJzl4+DgdrNZxDYax0fQu0kcHo+1HbKITy39HLJSIKLGkU0SRLysoMhN/9dn8vhPK0nPKTAd54S8WgTk5+ezaNEievfufeQFnU569+7N3Llzj/mcuXPnHvV4gL59+5Y8fsuWLSQnJx/1mMjISBITE497zeeee47IyMiSW0JCwtm+tTP2y7LdpB8qoG6VUPo3r2osh9hMjfZQ51xwF8LsN0ynERs5vPHBj0t2sfNAjuE0YhtFBTDrdWvc+S7wCzCbR2zj56W72ZCaxa8r9hDoX7bXoHg13b59+ygqKiIuLu6o++Pi4khOTj7mc5KTk0/4+MM/T+eaI0eOJD09veS2Y8eOM3o/peHqDgmMGdyeRy9oisupLoD40OFuwOJPITPFbBaxjdYJUXSpH0Oh28N70zebjiN2seJbSN8OoVWg7WDTacQm3G4PbxevgRrSpS5B/mV7ClrZLlFKSWBgIBEREUfdTHE4HPRuGkcPrQUQX6vdFWqcA0V5MPct02nERg4fhvj1wh2kZpSPtVtSjrmLYOYr1jjpTvAPNptHbGPCqmQ27c0mIsiPazvWNB3npLxaBMTExOByuUhJOfpbx5SUFOLj44/5nPj4+BM+/vDP07mmiGAdkHO4G/DXh5CTZjaP2EbHutG0q1WJ/EI3Y2ZtMR1HKro1P8P+DRAUCe2HmE4jNuHxeBhdfEr6DZ3rEB7kbzjRyXm1CAgICKBdu3ZMnjy55D63283kyZNJSko65nOSkpKOejzApEmTSh5fp04d4uPjj3pMRkYG8+fPP+41RaRYgz4Q3wIKsmH+u6bTiE04HA6GFXcDPp+3jQPZ+YYTSYXl8cCM4jNREm+DIHOdf7GXaev2smp3BiEBLm7sVNt0nFPi9elAI0aM4IMPPuCTTz5hzZo13H777WRnZ3PjjTcCMHjwYEaOHFny+H//+99MmDCBl19+mbVr1/Lf//6XhQsXMmzYMMD6n8ndd9/N008/zc8//8yKFSsYPHgw1apVY+DAgd5+OyLlm8MBXYu7AfPfhVwd4iS+0b1RFZpViyAnv4iP5mw1HUcqqvV/QMoKCAizigARH/B4PLxV3AW4tmMtKoWWj4XoXi8CrrrqKkaNGsVjjz1G69atWbp0KRMmTChZ2Lt9+3b27NlT8vhOnTrx5Zdf8v7779OqVSu+++47fvzxR5o3b17ymAceeIDhw4dzyy230KFDB7KyspgwYQJBQUHefjsi5V+TARDTEHLTYeGHptOITTgcjpK1AR/P3kJmbtneOk/KIY8HZo6yxu1vgpBos3nENuZtTmPRtgME+Dm5uUsd03FOmcPj8XhMh/C1jIwMIiMjSU9PN7pIWMSYpV/Bj7dZO2fcvUIL58Qn3G4P5706nU17s3mgXyPu6F7fdCSpSDZPh08HgCvQ+u9aeNzJnyNSCq4dM59ZG/dxXcdaPDWw+cmf4GWn+jnXFrsDicj/0+JyiKoJ2XutLUNFfMDpdJR88P9w5hYO5RcZTiQVyuEuQNvBKgDEZ5buOMisjfvwczq49dy6puOcFhUBInbk8ofOd1vj2a9DoRZqim8MaF2NGpWC2Z+dz7i/dHq1lJIdf8GWGeD0g87/Np1GbOStKdZagIFtqlOjUojhNKdHRYCIXbUeBGHxkLELln1lOo3YhL/Lye3d6wHw3vTN5BWqGyCl4HAXoNXVEJVgNovYxpo9Gfy5JgWHA+4o/u9aeaIiQMSu/IOg03BrPOtVKCo0m0ds4/J2NYiLCCQ5I5fvF+8yHUfKuz3LYf0EcDihywjTacRGDp8LcEGLqtStEmY4zelTESBiZ+1vhOBoOLAFVv1gOo3YRKCfi6Fdrbmz70zbRGGR23AiKddmFp8L0OwSqFz+vo2V8mnz3ix+XWHtbnl457PyRkWAiJ0FhELSHdZ45ihw68OY+MY1iTWJDg1ge1oOvyzfbTqOlFd718Pqn6xx13vNZhFbeWfaJjwe6N0kliZVy+dOkyoCROyuw1AIjIC9a2Hdr6bTiE2EBPgxpHg/7benbsLttt1u1VIaZr0KeKDR+RDXzHQasYmdB3L4YYk1lbG8dgFARYCIBEfBOUOt8YxR1oE7Ij5wXVItwoP82JCaxcTVyabjSHlzYBss/9oaHz4JXcQH3pu+mUK3hy71Y2hTs5LpOGdMRYCIQMc7wD8E9iyFjZNNpxGbiAjy5/qk2gC8OWUjNjy7Us7G7NfBUwR1e0CNdqbTiE2kZuTy9cIdAAzrWX67AKAiQEQAQmOg3Q3WeMZL6gaIz9zUpQ7B/i5W7c5g2vq9puNIeZGxB5Z8Zo27qQsgvvPBzM3kF7ppX6sSiXWiTcc5KyoCRMTSaTi4AmDHPNg223QasYno0AAGJdYErEN31A2QUzLnTSjKh5pJUKuz6TRiE2nZ+Xw+zzrkcFjP+jgcDsOJzo6KABGxRFSDNtda4xmjzGYRWxnarS4BLieLth1g3uY003GkrMveB4s+ssbd7oNy/kFMyo+xs7ZwqKCIFtUjObdhFdNxzpqKABE5ovPd4HDB5qmwc6HpNGITcRFBXNmhBnDk8B2R45r3NhTkQLU2UK+X6TRiE+mHCvhkzlbA2hGovHcBQEWAiPxdpVrQ6mprrG6A+NCt3erh53Qwa+M+Fm8/YDqOlFWHDsD8961xt/vVBRCf+WzuVjLzCmkYF0afpnGm45QKFQEicrQu9wAOWP87JK8wnUZsIiE6hEvaVAdg9BR1A+Q4FnwA+ZkQ2xQa9jedRmwiO6+QD2dtAawugNNZMYpPFQEicrSYBtDsEms882WzWcRWbu9eD6cDJq9NZeWudNNxpKzJy7KmAoF1OrBTH2HEN75asJ0DOQXUrhzCBS2qmo5TavRvkIj8U9d7rZ+rfoS9641GEfuoWyWMC1tWA+DtaeoGyP+zcKw1HSi63pEvKkS8LLegiPdmbAasLyr8XBXno3PFeSciUnrim0OjCwAPzHrFdBqxkTt7WIfv/L4ymQ0pmYbTSJlRcMjaFhSKuwAus3nENr5duIO9mXlUiwzikjY1TMcpVSoCROTYuhV3A5Z/A2lbzGYR22gUH07fZnF4PPD2tE2m40hZsfgzyE6FyJrQ8krTacQm8gvdvDvd6gLcem49Avwq1sfmivVuRKT0VG9nbb/nKYLZr5lOIzYyrEcDAH5auott+7MNpxHjCvOP/Deoy93g8jeZRmzkxyW72HXwEDFhgVzVIcF0nFKnIkBEjq/bfdbPpV9C+i6zWcQ2WtSIpHujKrg98I66AbJ8HGTsgrB4aD3IdBqxicIiN6OL1ybd2q0uQf4VbwqaigAROb5anaBWZyjKhzlvmE4jNjK8p7U24H+Ld7Lr4CHDacSYokKYWbwuqfNd4B9kNo/Yxvjle9i2P4dKIf5ck1jTdByvUBEgIid2uBuw6GPISjUaReyjXa1okupWpqDIw3vT1Q2wrZX/gwNbIKQytLvBdBqxCbfbw1vFp5ff3LUuoYF+hhN5h4oAETmxuj2s9QGFuUd25xDxgcPdgHF/7SA1I9dwGvE5dxHMLD65POlOCAg1m0dsY8KqZDamZhER5Md1SbVMx/EaFQEicmIOB3R7wBr/9SFk7zebR2wjqV5l2taMIr/QzQczN5uOI762+ifYtx6CoqDDUNNpxCY8Hg9vFp9afkPnOkQEVdyF6CoCROTkGvaF+JZQkH3kxE4RL3M4HAzvae0U9Pm87ezPyjOcSHzG7YYZxV2AjrdDUITZPGIbf65JZc2eDEIDXNzUubbpOF6lIkBETs7hgG73W+MF78Ohg0bjiH10b1SF5tUjOFRQxIezdF6Fbaz7DVJXQUA4JN5qOo3YhMfj4a0pGwC4Lqk2USEBhhN5l4oAETk1jS+E2KaQlwHz3zOdRmzi792AT+du42BOvuFE4nUeD8x40Ron3gLBlczmEduYsWEfy3amE+Tv5OaudUzH8ToVASJyapxO6Fp8ivC8tyE3w2wesY3zmsTROD6crLxCPpq91XQc8bYNk2DPMvAPhY53mk4jNuHxeHhzstUFuOacWsSEBRpO5H0qAkTk1DW7BCo3gNyDsPBD02nEJpzOI92AsbO3kJFbYDiReM3fuwAdboLQymbziG3M25zGwm0HCPBzcuu5dU3H8QkVASJy6pyuI92AOW9BfrbZPGIb/ZvHUz82jMzcQj6ds9V0HPGWzdNg51/gFwRJw02nERt5a6rVBbiqfQJxEfY4lE5FgIicnhZXQKXakLPPOkBMxAesboB1bsCYWVvIyis0nEi8YsZL1s92N0B4nNEoYh+Lth1g9sb9+DkdtukCgIoAETldLj/oMsIaz34DCnSIk/jGhS2rUScmlIM5BXw+b5vpOFLats6GbbPBFQCd/206jdjIG8VrAS5tW50alUIMp/EdFQEicvpa/QsiEyArGZZ8ZjqN2ITL6eCO7vUAGDNzM4fyiwwnklJ1eC1Am2shoprZLGIbS3ccZPr6vbicDu7sUd90HJ9SESAip8/vb9/UzXoNCrVto/jGwDbVSYgOZl9WPl8u2G46jpSWHX9Z6wGcftD5btNpxEYO7wg0sHV1alUONZzGt1QEiMiZaXMdhFeFjJ2w9AvTacQm/F1O7uhufVv33vRN5BaoG1AhTH/B+tnyaqhUy2wWsY2Vu9KZvDYVpwPu7FHPdByfUxEgImfGP+jIN3YzX1E3QHzmsrY1qBYZRGpmHt8s3GE6jpytnYtg4yRwuKDbvabTiI0cXgswoFU16lYJM5zG91QEiMiZa3c9hMVB+nZYPs50GrGJAD8ntxevDXh32ibyC92GE8lZObwWoOWVEG2fnVnErNW7M5i4OgWHA4YVn0NiNyoCROTM+QcfWRswYxQU6RAn8Y0r2icQGx7I7vRcvlu003QcOVO7l8D6CeBwQtf7TKcRG3lzitUFuLBlNerH2q8LACoCRORstbsRQqvAwW2w/BvTacQmgvxd3Hau1Q0YPXWjugHl1fTicwGaXw4x9tqZRcxZl5zJ7yuTAUrOH7EjFQEicnYCQqDTXdZ4xktQpEOcxDeuSaxJlfBAdh08xPeL1Q0od/Ysh3W/Ag7odr/pNGIjh7sA57eIp2FcuOE05ni1CEhLS2PQoEFEREQQFRXFkCFDyMrKOuHjhw8fTqNGjQgODqZmzZrcddddpKenH/U4h8Pxj9u4cZqPLGJMhyEQUhkObIEV35pOIzYR5O/i1m7WHPK3pm6koEjdgHLl8I5AzS+DKg3NZhHb2Jiaya8r9gAwrIc91wIc5tUiYNCgQaxatYpJkyYxfvx4ZsyYwS233HLcx+/evZvdu3czatQoVq5cyccff8yECRMYMmTIPx770UcfsWfPnpLbwIEDvfhOROSEAkKh03BrPOMlcGvbRvGNQYm1iAkLZOcBdQPKleSVsHY86gKIr701ZSMeD/RpGkfTahGm4xjltSJgzZo1TJgwgTFjxpCYmEiXLl148803GTduHLt37z7mc5o3b87//vc/LrroIurVq0fPnj155pln+OWXXygsPHqKQVRUFPHx8SW3oKAgb70VETkVHYZCcDSkbYKV/zOdRmwiOEDdgHLp8I5AzQZCbGOjUcQ+Nu/N4udl1mfQu3rZuwsAXiwC5s6dS1RUFO3bty+5r3fv3jidTubPn3/K10lPTyciIgI/P7+j7r/zzjuJiYnhnHPOYezYsXg8nuNeIy8vj4yMjKNuIlLKAsMg6U5rrG6A+NCgjjWpHBrAjrRD/LBkl+k4cjIpq2H1T9ZYXQDxobembsTtgV6NY2lePdJ0HOO8VgQkJycTGxt71H1+fn5ER0eTnJx8StfYt28fTz311D+mED355JN88803TJo0icsuu4w77riDN99887jXee6554iMjCy5JSQknP4bEpGTO+cWCIqCfeth1Q+m04hNhAT4ceu5Vjdg9NSNFKobULbNKN4RqMkAiGtmNovYxpZ92fxY/CXBcHUBgDMoAh566KFjLsz9+23t2rVnHSwjI4MLLriApk2b8t///veo3z366KN07tyZNm3a8OCDD/LAAw/w0ksvHfdaI0eOJD09veS2Y4dOmBTxiqCI/9cN0Icx8Y1rO9aicmgA2/bn8OPSY085lTIgde2RLwjOfcBsFrGVN6dswO2Bno1jaZ0QZTpOmXDaRcC9997LmjVrTnirW7cu8fHxpKamHvXcwsJC0tLSiI+PP+FrZGZm0q9fP8LDw/nhhx/w9/c/4eMTExPZuXMneXl5x/x9YGAgERERR91ExEsSb4WgSNi7Flb/aDqN2ERIgB9DD68NmLJB3YCyauYowAONL4T4FqbTiE38vQvwb3UBSvid/CFHq1KlClWqVDnp45KSkjh48CCLFi2iXbt2AEyZMgW3201iYuJxn5eRkUHfvn0JDAzk559/PqUFv0uXLqVSpUoEBgae+hsREe8IioSOd8C052D6i9B0IDh1JIl433Uda/H+jM1s3Z/Dz8t2c2nbGqYjyd/tXQ8rvrPGWgsgPvTm5CNdgFbqApTw2v+ZmzRpQr9+/Rg6dCgLFixg9uzZDBs2jKuvvppq1aoBsGvXLho3bsyCBQsAqwDo06cP2dnZfPjhh2RkZJCcnExycjJFRdYiw19++YUxY8awcuVKNm7cyDvvvMOzzz7L8OHDvfVWROR0Jd4GgZGwd426AeIzoYF+3Ny1DmBtA1jkPv6GEWLA9BcADzS6AKq1Np1GbGLz3ix+XKouwLF49eu5L774gsaNG9OrVy/OP/98unTpwvvvv1/y+4KCAtatW0dOTg4AixcvZv78+axYsYL69etTtWrVktvhefz+/v6MHj2apKQkWrduzXvvvccrr7zC448/7s23IiKnIzjqyNqA6S9opyDxmcFJtYkK8Wfzvmx+Waa1AWVG6tojWwd3f9BsFrGVt6Yc2RFIXYCjOTwn2luzgsrIyCAyMrJk+1ER8YLcdHithfXzsg+hxeWmE4lNjJ66kZf+WEfdmFAm3tMNP5emoxn37Y2w6ntrLcDVX5hOIzaxeW8WvV+ZjtsDPw/rTMsaUaYj+cSpfs7VfxlFxDuCIiFpmDVWN0B86PpOR7oBP6sbYF7qmiM7AnV/yGwWsZW/dwHsUgCcDhUBIuI9ibcdOTdg5fem04hNhAX6cUvxTkFvTNZOQcYdXgvQ5CLtCCQ+s+lvawHu7t3QcJqySUWAiHhPUAR0UjdAfO/6pNpEhwawdX+OThE2KWU1rPrRGp+rLoD4zuEuQO8msbSoodOBj0VFgIh41zm3QnAl2L/hyPaAIl4WGujHrcXdgDenbKRA3QAzpj8PeKDpxRDf3HQasYlNe7P4qWRHIHUBjkdFgIh4V1AEdCrewnfGi1BUaDaP2MZ1SbWICQtge1oO3y/eaTqO/SSvhNU/AQ51AcSn1AU4NSoCRMT7zrkFgqNh/0ZYqW6A+EZIgB+3nVsPsLoB+YXqBvjU9Oetn80GQlxTo1HEPv7eBdBagBNTESAi3hcYDp3vssbTX1A3QHxmUGItqoQHsvPAIb5bpG6AzySvgDW/YHUBdC6A+M5rf24o7gLE0by6ugAnoiJARHyjw1AIqQxpm2HFN6bTiE0EB7i4vbgbMHrqRvIKtTjdJ6Yd7gJcArFNzGYR21iXnMn45da2wCPOUxfgZFQEiIhvBIZBp8PdgBehqMBsHrGNaxJrEhcRyK6Dh/hmoboBXrdnOawdj7oA4muvTlqPxwPnt4inaTUdBnsyKgJExHfOGQqhVeDAFlj2lek0YhNB/i7u7FEfgLenbiS3QN0Ar5r6rPWz+WUQ29hsFrGNlbvSmbAqGYdDawFOlYoAEfGdgFDoco81nv4iFOaZzSO2cVWHBKpGBrEnPZev/9phOk7FtXMhrP8dHE7oPtJ0GrGRVyetB2BAq2o0jAs3nKZ8UBEgIr7V/iYIrwrpO2Dxp6bTiE0E+v2tGzBN3QCvmfK09bPVNRBT32wWsY0l2w8weW0qTgf8u1cD03HKDRUBIuJb/sHQ7T5rPGMUFBwym0ds48r2CVSPCiYlI4/P520zHafi2TobNk8Fpz+c+4DpNGIjr/65AYBL29agbpUww2nKDxUBIuJ7bQZDZE3ISoa/PjSdRmwiwM/JXb2sb6ffmbaJ7DxtVVtqPJ4jXYC210GlWmbziG0s3JrGjPV78XM61AU4TSoCRMT3/AKOfFM46xXIyzKbR2zjsrY1qF05hP3Z+Xw8Z6vpOBXH5qmwfQ64AqHrfabTiI28PNFaC3BF+wQSokMMpylfVASIiBmt/gXRdSFnP8x/13QasQk/l5N7ivcPf2/6JtIPaavas/b3LkCHIRBZ3WwesY05m/Yxd/N+AlxOhvfUGpTTpSJARMxw+UH3h63xnDfg0EGjccQ+LmpZjUZx4WTkFjJm5mbTccq/9RNg1yLwDzmy+5eIl3k8Hl4p7gL865wEqkUFG05U/qgIEBFzml8KVRpDbjrMe9t0GrEJp9NR0g0YO2sL+7O0Ve0Zc7thyjPW+JxbICzWbB6xjRkb9rFw2wEC/ZwlO3/J6VERICLmOF3Qo7gbMPdtyEkzm0dso2+zOFpUjyQ7v4h3pm0yHaf8WvMzpKyAgHDo/G/TacQmPB4PL09cB8B1HWsRGxFkOFH5pCJARMxqfBHEt4T8TJj9uuk0YhMOh4N7+1jdgM/mbSM5PddwonLIXXTkdOCkOyEk2mwesY0/ViWzfGc6oQEubu9ez3SccktFgIiY5XRCz0es8fz3IDPFbB6xjXMbVqFD7UrkFbp5a+oG03HKnxXfwb51EBQFSXeYTiM2UeT2MKp4LcCQLnWoHBZoOFH5pSJARMxr0AdqdIDCQzDzZdNpxCYcDgf39WkEwNd/7WBHWo7hROVIYT5MK+4CdL4LgiLN5hHb+GHJLjamZhEV4s/N3eqajlOuqQgQEfMcDuj5qDVeOBYO6DRX8Y3EupXp2iCGgiIPr09WN+CULfkUDmyF0FhIvM10GrGJvMIiXp1kdQFuP7ceEUH+hhOVbyoCRKRsqHsu1O0O7gKY9pzpNGIj9xZ3A75fvJNNe3Vw3Unl58D0F61xt/shINRsHrGNcQt2sOvgIWLDAxmcVNt0nHJPRYCIlB29HrN+LhsHqWvMZhHbaJ0QRe8mcbg9lOw7Licw/13ISoGomtDuBtNpxCZy8gt5c8pGAO7q1YDgAJfhROWfigARKTuqt4MmA4C/nUAq4gP39W2IwwG/rtjD8p0HTccpuw4dgNmvWeMe/wG/AKNxxD4+mr2VfVl51IwO4cr2CabjVAgqAkSkbOn5CDicsHY87FxoOo3YROP4CC5pXR2Al/5YZzhNGTb7DetwvypNoMUVptOITaTnFPDedOs8j3vOa0CAnz6+lgb9XRSRsqVKI2h1jTX+87/g8RiNI/Zxz3kN8Xc5mLlhH7M37jMdp+zJTLGmAgH0etQ67E/EB96fuYmM3EIaxYUzoFV103EqDBUBIlL2dH8IXAGwdSZsnmo6jdhEQnQIgxJrAfDChLV4VIAebcZLUJBjbefb6HzTacQmUjNzGTtrKwD39mmIy+kwG6gCUREgImVPVAJ0uNka//mEugHiM8N61ickwMXynelMWJlsOk7ZkbYFFn1kjXs9bm3rK+IDb0/dxKGCIlolRHFe0zjTcSoUFQEiUjZ1vRcCwmDPUlj9k+k0YhMxYYHc3NU6gOiliesoLHIbTlRGTHsO3IVQryfU6Wo6jdjEjrQcvphvnRvzQN9GOFR8lioVASJSNoXGQNKd1njK01BUaDaP2MbQrnWIDg1g895svlu003Qc81JWwfJvrPHhbXxFfGDUxHUUFHnoUj+GzvVjTMepcFQEiEjZlTQMgqNh/wZY9pXpNGIT4UH+3NmjPgCv/bmB3IIiw4kMm/I04IGmF0O1NqbTiE2s3JXOT0t3A/BQ/8aG01RMKgJEpOwKirCmBYE1HaHgkNk8YhuDEmtSPSqY5IxcPp271XQcc7bPg3W/gcMFPR81nUZs5IUJawEY0KoazatHGk5TMakIEJGyrcPNEJkAGbuObE8o4mVB/i7u7t0AgNFTN5F+qMBwIgM8HphY/MG/zbUQ08BsHrGNWRv2MXPDPvxdDu7r08h0nApLRYCIlG3+QdYBYgAzX4WcNLN5xDYubVuDBrFhpB8q4P0Zm0zH8b01v8DOBeAfAt1Hmk4jNuF2e3h+whoABiXWomblEMOJKi4VASJS9rW4EuJaQF46zBhlOo3YhMvp4P6+1reQH87aQkpGruFEPlRUAJOfsMZJd0JEVbN5xDbGr9jDyl0ZhAX6MbxnfdNxKjQVASJS9jmdcF7xB5K/PoADW43GEfs4r2kc7WpVIrfAzSsT15uO4zuLP4H9GyEkBjrdZTqN2ER+oZtRf6wD4NZudakcFmg4UcWmIkBEyof6vaBudyjKL96tRMT7HA4HD59v7Uzy7aIdrEvONJzIB/IyYdrz1vjcB60F+iI+8OX8bWxPy6FKeCBDutYxHafCUxEgIuXHeU9aP1d8C7uXGo0i9tGuVjT9m8fj9sBzv68xHcf75rwF2Xshui60u8F0GrGJzNwC3piyEYC7ezcgJMDPcKKKT0WAiJQfVVtZ6wMAJj1m7V4i4gMP9GuMn9PBtHV7mb1xn+k43pOZAnPetMa9HgO/ALN5xDY+mLGZtOx86saEcmX7BNNxbEFFgIiULz0fAVcAbJkOmyabTiM2UScmlGs71gLg2d/W4HZX0AJ0+vNQkA3V20HTgabTiE2kZubywcwtANzftxH+Ln089QWv/l1OS0tj0KBBREREEBUVxZAhQ8jKyjrhc7p3747D4Tjqdttttx31mO3bt3PBBRcQEhJCbGws999/P4WFhd58KyJSVlSqBefcYo0nPQ5um5/mKj4zvGd9wgP9WLU7g5+W7TIdp/Tt2wCLPrHG5z0FDofZPGIbr05az6GCIlonRNGvebzpOLbh1SJg0KBBrFq1ikmTJjF+/HhmzJjBLbfcctLnDR06lD179pTcXnzxxZLfFRUVccEFF5Cfn8+cOXP45JNP+Pjjj3nssce8+VZEpCzpei8ERULKSlj+jek0YhOVwwK5rXs9AEb9sZ7cggpWgP75X/AUQcP+ULuz6TRiE+uSM/n6rx0APHJBExwqPn3Ga0XAmjVrmDBhAmPGjCExMZEuXbrw5ptvMm7cOHbv3n3C54aEhBAfH19yi4g4sjPBxIkTWb16NZ9//jmtW7emf//+PPXUU4wePZr8/PxjXi8vL4+MjIyjbiJSjoVEQ5cR1njK01BwyGwesY0hXepQNTKIXQcP8fGcrabjlJ7t82DteHA4ofd/TacRG3nmtzW4PdC/eTzta0ebjmMrXisC5s6dS1RUFO3bty+5r3fv3jidTubPn3/C537xxRfExMTQvHlzRo4cSU5OzlHXbdGiBXFxcSX39e3bl4yMDFatWnXM6z333HNERkaW3BIStOBEpNxLvBUiakDGTpj3tuk0YhNB/i7u7WMdIDZ66kYOZB/7y6dyxe2GP/5jjVsPgtjGZvOIbUxbl8qM9Xvxdzl4qL/+3Pma14qA5ORkYmNjj7rPz8+P6OhokpOTj/u8a665hs8//5ypU6cycuRIPvvsM6699tqjrvv3AgAo+evjXXfkyJGkp6eX3Hbs2HGmb0tEygr/YOj9uDWe+Yq1q4mID1zSpjqN48PJzC3kjSkbTMc5eyv/B7sWgn+otfBexAcKi9w8+5u15e71SbWpVTnUcCL7Oe0i4KGHHvrHwt3/f1u7du0ZB7rlllvo27cvLVq0YNCgQXz66af88MMPbNq06YyvGRgYSERExFE3EakAml9u7WKSnwVTdYCY+IbL6eDh85sA8Pm8bWzbn2040VnIz7HWAgB0vQfCtShTfOPrhTtYn5JFVIg/w3s2MB3Hlk67CLj33ntZs2bNCW9169YlPj6e1NTUo55bWFhIWloa8fGn/h+ZxMREADZutA6QiI+PJyXl6G/8Dv/16VxXRCoApxP6PmuNF38GySvM5hHb6NawCl0bxFBQ5OG53878iy/j5o22ptRF1ICkYabTiE1k5hbw6qT1APy7VwMiQ/wNJ7Kn0y4CqlSpQuPGjU94CwgIICkpiYMHD7Jo0aKS506ZMgW3213ywf5ULF26FICqVasCkJSUxIoVK44qMCZNmkRERARNmzY93bcjIuVdzY7Q7BLAA388rAPExGceuaApTgdMWJXM3E37Tcc5fZnJMPNVa9z7v9YUOxEfeHf6JvZl5VMnJpRBibVMx7Etr60JaNKkCf369WPo0KEsWLCA2bNnM2zYMK6++mqqVasGwK5du2jcuDELFiwAYNOmTTz11FMsWrSIrVu38vPPPzN48GC6detGy5YtAejTpw9NmzbluuuuY9myZfzxxx888sgj3HnnnQQGBnrr7YhIWdb7CXAFwpYZsO5302nEJhrFh5d8gHly/GqKytsBYlOeKj4YrD20uNx0GrGJXQcPMab4YLCR/RsT4KeDwUzx6t/5L774gsaNG9OrVy/OP/98unTpwvvvv1/y+4KCAtatW1ey+09AQAB//vknffr0oXHjxtx7771cdtll/PLLLyXPcblcjB8/HpfLRVJSEtdeey2DBw/mySef9OZbEZGyrFItSLrDGk98BAorwI4tUi7cc15DwoP8WLMng28XlqNNJ/YsgyVfWON+z+lgMPGZlyasJa/QTWKdaM5rGnfyJ4jXODwe+/XOMzIyiIyMJD09XYuERSqK3Ax4sy1k74V+z0PH200nEpsYM3MzT/+6hpiwAKbe153woDI+v9njgU8ugq0zofllcPlY04nEJpbuOMjA0bNxOOCXYV1oXj3SdKQK6VQ/56oHIyIVQ1AE9Cje63za85CTZjaP2MbgpNrUjQllX1Y+b03daDrOya37zSoAXIE6GEx8xuPx8PT41YC1za4KAPNUBIhIxdF2MMQ2g9yDMP0F02nEJgL8nPznAmvL0I9mbS3bW4YW5ltT5gCS7oSommbziG38vGw3C7cdINjfxf19G5mOI6gIEJGKxOmCvs9Y47/GwL4KcJCTlAs9G8fStUEM+UXusr1l6F8fQNpmCI2FriNMpxGbyMkvLPn34s4e9agaqZ2oygIVASJSsdTrAQ37gbvQ2jJUxAccDkfZ3zI0e9+RDlnPRyAw3GwesY23p24iOSOXhOhgbu5a13QcKaYiQEQqnj7PgNMfNkyEdRNMpxGbaBQfzjWJ1vSap8rilqGTn4DcdIhvAW2uNZ1GbGL7/hzen7kZgP+c35Qgf5fhRHKYigARqXhi6h/ZMnTCQ1CQazaP2MaI8xoRHuTH6rK2Zeiuxdap2gDnj7Kmzon4wNO/ria/0E2X+jH0baYtQcsSFQEiUjF1ux/C4uHAFpj7luk0YhPRoQH8u1cDAF76Yx3pOQWGEwFuN/x2P+CBlldZp2yL+MDMDXuZuDoFl9PB4xc1xaHzKMoUFQEiUjEFhkOfp6zxzJchfafZPGIb13eqTf3YMPZn5/PKpHWm48Cyr2DXQggIg/N0sKb4RkGRmyd+sbYEHZxUiwZxWoNS1qgIEJGKq8UVUDMJCnKObIso4mX+LidPDmgGwGfztrFqd7q5MLnp8Ofj1vjcByA83lwWsZXP5m5jY2oW0aEB3N27oek4cgwqAkSk4nI4oP+L4HDCqh9gywzTicQmOtWP4YKWVXF74PGfVuHxGFokPO156xTtyg0gUadoi2/sz8rj1T/XA3Bfn0ZEBpfxU7RtSkWAiFRsVVtCuxut8e8PQlGh2TxiG/85vwnB/i4WbjvAD0t2+T5A6hqY/5417v8C+AX4PoPY0qiJ68jMLaRZtQiu6pBgOo4ch4oAEan4ej4CwZUgdbV1iJiID1SLCmZ4r/oAPPvbWjJyfbhI2OOB3x8ATxE0vhDq9/Lda4utLd95kHF/WTtj/XdAM1xOLQYuq1QEiEjFFxINPR+1xlOfhay9ZvOIbdzcpS51Y0LZl5XHa5N8eIL16p+s6W9+QUdO0RbxsiK3h//8sBKPBwa2rkaH2tGmI8kJqAgQEXtodwPEt4S8dOvQJBEfCPBz8t/iRcKfzN3K2uQM779o/t8Wwnf+N1Sq7f3XFAG+nL+NFbvSCQ/y4+ELmpiOIyehIkBE7MHpgvNfssZLPoMdC8zmEdvo1rAK/ZrFU+T28JgvFgnPeAnSd0BkAnS+27uvJVIsNTOXF/+wtsS9v28jYsODDCeSk1ERICL2UbMjtB5kjX+5G4rKwEFOYguPXNiEIH8nC7ak8fOy3d57odQ1MOcNa9z/BQgI8d5rifzNc7+tJTO3kBbVIxmUWMt0HDkFKgJExF7Oe6p4kfAqmPeO6TRiEzUqhXBnd2uR8DO/riHTG4uE3W4Yfw+4C6HRBdD4gtJ/DZFjmLNpHz8s2YXDAU8PbK7FwOWEigARsZfQylYhADDtOTi4w2wesY2h3epSu3IIqZl5vDxxfem/wNIvYPtc8A+1ugAiPpBf6ObRH1cCMCixJq0SoswGklOmIkBE7Kf1IKjZyTpJ+PcHTKcRmwjyd/H0wBaAtUh46Y6DpXfx7P0wqXgHrB4jIUp7s4tvfDBzM5v2ZhMTFsD9fRqbjiOnQUWAiNiP0wkXvgJOP1j3G6z91XQisYkuDWK4pE11PB4Y+f0KCovcpXPhSY/CoQMQ1xwSbyuda4qcxI60HN6cYm19+/D5TYgM0cnA5YmKABGxp9gm0Okua/zbA5CXZTaP2MYjFzQhKsSfNXsyGDt7y9lfcOssayoQDrjwNXDpg5j4xhO/rCK3wE3HutFc0qa66ThymlQEiIh9dbsfompBxk5rfYCID1QOC+Th86091F+dtIEdaTlnfrHCfBg/whq3uwESOpx9QJFTMHFVMn+uScXP6eDpgc1xOLQYuLxRESAi9hUQAuePssbz3oHkFWbziG1c0a4GiXWiOVRQxGM/rTzzswPmvAH71kFoFej9eOmGFDmOjNwCHvtpFWAteK8fG244kZwJFQEiYm8N+0DTi8FTZJ0d4C6lOdoiJ+BwOHjmkhYEuJxMXbeXX1fsOf2LpG22DgYD6PustfWtiA+88PtakjNyqVU5hLt6NjAdR86QigARkX7PQ0A47FoICz80nUZson5sGLd3rwfAE7+sJv3QaZwd4PHAr/dCYS7UORdaXOGllCJHm795P1/M3w7Ac5e2IDjAZTiRnCkVASIiEdWg12PW+M//wsHtRuOIfdzRox51Y0LZm5nHixPWnvoTl34Bm6aAXxBc8ApoPrb4QG5BESO/t6ZNXt0hgU71YgwnkrOhIkBEBKDDzVAzCfKz4Jd/W9+0inhZoJ+LZy6xzg74Yv52Fm1LO/mTMvbAhIetcY+HIaa+FxOKHPHG5A1s3pdNbHggI4sXt0v5pSJARASsswMGvGV9s7ppCiz90nQisYmkepW5ol0NAO7/bjm5BUXHf/DhaUB56VCtDXS800cpxe5W7U7nvRmbAXjy4uZEBmsr2vJORYCIyGEx9aH7SGv8x0jITDabR2zjkQuaEhseyOa92bz65/rjP3DV97DuV3D6w8WjweXnu5BiW4VFbh7833KK3B76N4+nX/N405GkFKgIEBH5u6Rh1jesuenW/uuaFiQ+EBniz7PF04I+mLGZJdsP/PNB2fvgt/utcbf7IK6ZDxOKnY2ZtYWVuzKICPLjiYv1566iUBEgIvJ3Lj/rG1anv/WN66rvTScSm+jdNI5L2lTH7TnOtKDfH4Sc/RDbDLqMMBNSbGfLvmxenWR1px65sCmx4UGGE0lpUREgIvL/xTWzvmkF+O0B6xtYER94/KKmxIQFsjE1i9cnbzjyi7W/wcrvwOGEi98CvwBzIcU23G4PI79fTl6hmy71Y0rWrkjFoCJARORYuoywvnHN2Wd9AyviA1EhATx7SXMA3pu+iWU7DsKhgzD+HusBne6C6m2N5RN7+WTuVuZtTiPI38mzl7TAoa1oKxQVASIix+IXYH3j6nBa38Cu/c10IrGJPs3iubh1NdweuO/bZRT98R/ISobK9aH7Q6bjiU1s2pvF879bZ1c8fH4TalYOMZxISpuKABGR46neFjoNt8bj74bs/UbjiH3896JmxIQFUH3fTFxLPwcc1ha2/sGmo4kNFBa5GfHNMvIK3XRtEMO1ibVMRxIvUBEgInIi3UdClcaQlQLjdYiY+Eal0ABe6F+dl/zfB2Bvs5ugVpLhVGIX70yzpqKFB/nx4uUtcTo1DagiUhEgInIi/sFw6fvWbkFrfoFlX5lOJHbg8dBrwzNUcaSz3l2d67f3P/EhYiKlZOWu9JJF6U9e3Iyqkeo+VVQqAkRETqZqK+hRfIjYbw/AgW1m80jFt/RLWDsej9OfJ/zvZvXe/JL52SLekltQxIhvllLo9tCvWTwDW1c3HUm8SEWAiMip6Hw3JCRCfib8cBu49a2seMmBrSU7Ujl6PMzNVw4E4OM5W5m+fq+5XFLhvTppPetTsogJC+CZS5prN6AKTkWAiMipcLrgkvcgIAy2z4E5b5pOJBWRu8gqMvMzoWYSdP43PRrFcn2StTDzvm+XsT8rz3BIqYgWbEnj/ZmbAXju0pZUDgs0nEi8TUWAiMipiq4D/Z6zxlOehuQVZvNIxTPnDdg+1yo2L3nXKj6Bkec3oUFsGHsz83jo+xV4tEBdSlF2XiH3fbsMjweuaFeD85rGmY4kPuDVIiAtLY1BgwYRERFBVFQUQ4YMISsr67iP37p1Kw6H45i3b7/9tuRxx/r9uHHjvPlWREQsba6DRueDuwC+vwUKck0nkopiz3KY8ow17v8CVKpd8qsgfxevXd2aAJeTSatT+GrBDjMZpUJ6/OdVbE/LoXpUMI9d1NR0HPERrxYBgwYNYtWqVUyaNInx48czY8YMbrnlluM+PiEhgT179hx1e+KJJwgLC6N///5HPfajjz466nEDBw705lsREbE4HHDRGxBaBVJXw5SnTCeSiqAg1yoq3QXQ+EJoPegfD2lWLZL7+zYC4Knxq9m89/hfqomcqh+W7OS7RTtxOuDlK1sRHuRvOpL4iNeKgDVr1jBhwgTGjBlDYmIiXbp04c0332TcuHHs3r37mM9xuVzEx8cfdfvhhx+48sorCQsLO+qxUVFRRz0uKCjIW29FRORoYVVgQPGagLlvwcbJZvNI+TfpMdi7BkJj4aLXrWLzGIZ0qUPn+pU5VFDE3V8vpaDI7eOgUpFs2ZfNIz+sBOCuXg3oWLey4UTiS14rAubOnUtUVBTt27cvua937944nU7mz59/StdYtGgRS5cuZciQIf/43Z133klMTAznnHMOY8eOPeH8yLy8PDIyMo66iYiclUb9od2N1vj7WyBjj9k8Un6t/hkWvGeNLx4NoTHHfajT6eDlK1oTGezP8p3pvPbneh+FlIomr7CI4V8tJju/iHPqRDO8ZwPTkcTHvFYEJCcnExsbe9R9fn5+REdHk5ycfErX+PDDD2nSpAmdOnU66v4nn3ySb775hkmTJnHZZZdxxx138Oabx9+p47nnniMyMrLklpCQcPpvSETk/+v3HMQ1h5x98P1QbRsqpy9tC/w0zBp3ugsa9jnpU+Ijg3j+0hYAvD1tE3M37fdmQqmgXpywjpW7MogK8ef1q1vj0qnAtnPaRcBDDz103MW7h29r1579gSaHDh3iyy+/PGYX4NFHH6Vz5860adOGBx98kAceeICXXnrpuNcaOXIk6enpJbcdO7SgSkRKgX8wXPEx+IfC1pkw/QXTiaQ8KcyH726CvHSocQ70euyUn9q/RVWuap+AxwPDv1pCaoYWqMupm7wmhQ9nbQFg1OWtdCqwTZ12EXDvvfeyZs2aE97q1q1LfHw8qampRz23sLCQtLQ04uPjT/o63333HTk5OQwePPikj01MTGTnzp3k5R177+TAwEAiIiKOuomIlIqYBnDRa9Z4+ouwaarROFKOTHoMdi+GoCi4fCy4Tm9B5n8HNKNxfDj7svIY/tUSCrU+QE5Bcnou9327DIAbO9emt7YDtS2/031ClSpVqFKlykkfl5SUxMGDB1m0aBHt2rUDYMqUKbjdbhITE0/6/A8//JABAwac0mstXbqUSpUqERiogy1ExICWV1qdgMWfWusDbpsF4fofq5zAmvEw/x1rfMm7EHX601SDA1yMHtSWAW/OYv6WNF6ZtJ4H+jUu5aBSkRS5Pfx73BIO5BTQrFoED/XXnxc789qagCZNmtCvXz+GDh3KggULmD17NsOGDePqq6+mWrVqAOzatYvGjRuzYMGCo567ceNGZsyYwc033/yP6/7yyy+MGTOGlStXsnHjRt555x2effZZhg8f7q23IiJycv1fhNhmkJ0K39+s9QFyfAe2wU93WOOkYdYi8zNUr0oYL1zeErDWB0xZm1IaCaWCenPKBuZvSSM0wMVb17Ql0M9lOpIY5NVzAr744gsaN25Mr169OP/88+nSpQvvv/9+ye8LCgpYt24dOTk5Rz1v7Nix1KhRgz59/rlAyt/fn9GjR5OUlETr1q157733eOWVV3j88ce9+VZERE7s7+sDtsyAGcdfpyQ2VpgP390IuelQvT30/u9ZX/LCltW4PqkWAPd8vYydB3JO8gyxo6nrUnl98gYAnhrYnDoxoYYTiWkOjw3PHs/IyCAyMpL09HStDxCR0rXsa/jhFsABg3+CuueaTiRlyYSHYd5oCIq0po1F1SyVy+YVFnHlu3NZtjOdVglRfHNrR33LKyW27stmwFuzyMgt5JrEmjx7SQvTkcSLTvVzrlc7ASIittPqKmhzLeCxvvE9uN10Iikrln9rFQAAA98ptQIAINDPWh8QGezPsh0HefbXNaV2bSnfcvILue3zRWTkFtKmZhSPX9TUdCQpI1QEiIiUtvNHQdXWkLMfxl0D+dmmE4lpu5fAz8XnAXS5BxpfUOovUaNSCK9e1QqAT+Zu45dlu0v9NaR88Xg8PPDdctYmZxITFsi717ZTh0hKqAgQESlt/sFw9RcQWgWSV1iHQdlv5qUclpUK4wZBYS406AM9H/XaS/VsHMft3esB8MB3y1m5K91rryVl35iZWxi/fA9+TgfvXNuWuIgg05GkDFERICLiDZE14MrPwOkPq76HWa+aTiQmFObDN4MhYxdUbgCXjQGnd7+Jvfe8hnRtEMOhgiJu+XQhqZk6SMyO/q+9O4+rqs7/OP66F7js4AYoLoiK+y6miJWmZlqmji2aJTjWZLmO9aucFrQpbZlFG83SaQSdnGpKyqbUMS01940ZczcxF1YXFlG2e+/vj6OU45KmcC7c9/PxuA+4C9w35/CA8znn+/1+1h88wfSlxrCwF+9pSeeGNUxOJK5GRYCISHmJiIH+bxifr3wZ9i83N49UvGXPwpEN4B0Ew/5hTAguZ54eVmY91JFGtfxJyy3k8YXbKCzRkrXu5HjOOcb+YwcOJwzpWI8R51ePEvkpFQEiIuUp+tfGDSd88iicOGB2IqkoW96DrX8DLMYVgFpRFfbWwb5e/DUumiAfT3YcyeF3yTtxw8UA3VJhiZ3RC7dxqqCY1nWDeHVwaywWi9mxxAWpCBARKW93vQ4NYqAoD/4xzFgjXqq2H9bD0meMz3u9CE37VniERiEBzB7eEQ+rhcXbjzN3zaEKzyAVy+FwMvGDFHYez6WGv413Hu6Ej5cmAsvlqQgQESlvnjZ4YAEE1YOTB4wrAvZSs1NJeck5Ah8+Ao5SaPUr6D7JtCi3RoXw0j3GkpCvLdvLyj3qKFyVTV+6h2W7MrB5WJkzvCP1qvuZHUlcmIoAEZGKEBBqrBjk6QMH/g1fPqUVg6qis6fg70Pg7AkIawMDZ4HJQzFGxEQwvEsDnE4Y/48d7MvINzWPlI8FGw4zb20qAG/e35YujWqanEhcnYoAEZGKEt7eGBuOBbYlwpo/mBxIbqqSc8ZwrxP7IaguPPQh2PzNToXFYmHKva3o2qgGBcV2RiVtITu/yOxYchN9tTuTKUt2AfB/fZsxsH1dkxNJZaAiQESkIrUYAP3fND7/+hXY8b65eeTmcNhh8WNwdCN4B8PwjyHYdQ7EvDyszBneiYiafhw7fY64v20mr7DE7FhyE+w8lsu48ysBDe1cnyfP94kQ+TkqAkREKtotjxldYwGWjIMDX5mbR26M0wnLnoM9n4OHzRj2FdbS7FSXqO5vI2nkLdQKsLE7PY/fLNiqpUMruWOnz/LrpC2cK7Fza1Qtfj9IKwHJtbM43XDNsLy8PIKDg8nNzSUoKOiKr7Pb7ZSU6EzJ/7LZbFitqh9FbojTCcmPw38/BC9/GPkFhHcwO5X8Et/OgK8SjM/v+xu0HmJqnJ/z3fFchs7dyJmiUu5qVbtsBSGpXHLPlXD/O+vZn3mG5rUD+efoGAJ9vMyOJS7gWo9zVQRcZuM4nU4yMjLIycmp+HCVgNVqJTIyEpvNZnYUkcqttBgW3Q+HvgH/EBi1AmpEmp1Krsd/PzKGAQH0nQYxY8zNc43WHzxB/PwtFNsdPNSlAa/qDHKlcra4lPi/bWHz4VOEBXmT/GQs4dV8zY4lLkJFwFX83MZJT08nJyeH0NBQ/Pz89IfxJxwOB2lpaXh5edGgQQNtG5EbVZgHif0hYyfUaAyj/g3+tcxOJdfi+6/h/fvBUQJdx8Bd08xOdF2+3JnOmEXbjVWD7mjCpDubmR1JrkFhiZ1Hk7by7cETBPp48sFvutIqvPw7UUvlca1FgGcFZqoU7HZ7WQFQs6aW17qckJAQ0tLSKC0txctLlx5FbohPEDz0T3jvTjj1PSwYCCOWgL/+/ri0w98aKwE5SqDVYLjzFbMTXbf+berw+4GteeHT73hr1UFqBngT162h2bHkKopLHTz5/na+PXgCP5sHiSNvUQEgv5gGdv+PC3MA/PzUYONKLgwDsts1oUzkpgiqA48kQ0AYZH4HCwca682La/phvXEFoPQcNO4Fg9+FSjpP6uGuEfy2d1MApny+i093HDc5kVxJqd3BhA92sGpvFt6eVt6L60yniOpmx5JKrHL+1aoAGuZyZdo2IuWgVhOI+xz8Q42hQQsGwrnTZqeS/3VkI/z9Pig5C416wtBF4OltdqobMr5XE0bEROB0wqSPUvhk2zGzI8n/sDucPP3P/7D0O6Mb8NwR0cQ01tVCuTEqAkREXEVIM6MQ8KsFGf+FBYPgXI7ZqeSCo1vOFwAFEHk7DPsHePmYneqGWSwWpgxoxbBbGuBwwtMf/4ePthw1O5ac53Q6eT55J5+mpOFptTB7eEdubxpidiypAlQEiIi4ktDm5wuBmpCeAgsHQ2Gu2ank2Db4+6+gOB8a3grDPgCvqrMai9Vq4dVBrXmkq3FF4JlP/suiTUfMjuX2nE4nUz/fzQdbjmK1wJ8fbE+flmFmx5IqQkWAG4iPj2fQoEFmxxCRaxXW0pgc7FsD0rbD34cYqwiJOY5vN4qxojyI6A4PfQi2qjdvzGq18PLAVsSfnxz8u+SdLNxw2NRM7qzU7uD/Pv4viesPA/DGfe0Y0C7c3FBSpagIcAMzZ84kMTHR7Bgicj1qt4YRn4FvdTi2BRYOgoITZqdyPz+sN7Z9US406Ha+APA3O1W5sVgsJAxoyaPdjX4VL362i/nrUk1O5X4KS+w88f52Pt52DKsF3ryvLfd1qmd2LKliVAS4geDgYKpVq2Z2DBG5XnXawiOfGoXA8W3GMqKnD5udyn3sXmLMyyjMhQYxMPwj8A4wO1W5s1gsPH93C0bf3hiAqZ/vZu6a701O5T7yC0uIn7+ZFbszsXlamfNwJ+6Prm92LKmCVARcA6fTydni0gq/XW8ft48//pg2bdrg6+tLzZo16d27NwUFBZcMB+rRowfjx4/nmWeeoUaNGtSuXZspU6bc3I0mIjdHeHv49XIIrm/0EfhrH0hLMTtV1bd5Hnw0AuxF0OxuYwlX70CzU1UYi8XCs3c1Y2zPJgBM+3IvUz/fhd3hdv1FK9TJM0U8NG8TGw+dIsDbk6SRt9C3VW2zY0kVpWZh1+BciZ2WLy2v8Pfd/XJf/GzXtovS09MZNmwYb7zxBoMHDyY/P5+1a9desZBISkpi0qRJbNq0iQ0bNhAfH09sbCx9+vS5mT+CiNwMIc1g1Ap4/z6jj0Di3fDgQmh8h9nJqh6nE1a+DN/+ybjfaST0/wN4uN+/S4vFwlN3NiXAx5PXlu5l/rrDHDt9jplD21/z/ya5dsdzzvHIXzdx6EQBNfxtJI28hTb11AhMyo+uBFQR6enplJaW8qtf/YqGDRvSpk0bnnzySQICLn/pum3btiQkJBAVFcWIESOIjo5m5cqVFZxaRK5ZUB0Y+aWxMk3xGaNZ1X8+NDtV1WIvgU+f+LEA6PkC3PNntywALrBYLIy+vTGzHuqAzdPKit2ZDJ27kaz8QrOjVSl7M/K4b856Dp0ooG41X/45OkYFgJQ79/3Ldh18vTzY/XJfU973WrVr145evXrRpk0b+vbty5133sl9991H9eqX7ybYtm3bi+7XqVOHrKysG8orIuXMJxge/gSSR8OuxZD8G8hPh9gJoCZ+N6YoHz6Kg+9XgsUDBsyAjiPMTuUy7mkbTp1gHx5N2sp/j+UyePZ65o/sTNMw9xkiVV6+3JnO0//8D2eL7TQO8WfhqC6EV6s6y8+K69KVgGtgsVjws3lW+O16OvN6eHiwYsUKli5dSsuWLfnLX/5Cs2bNSE29/KoOXl5el/yMDofjhraTiFQAT28Y8h50HWPc/yoBFv8GigvMzVWZZe+Heb2MAsDLz2gCpgLgEp0iapD8ZCyRtfw5nnOOIW+v59sDWrHql7I7nLy5fC9Pvr+ds8V2ujepxceju6kAkAqjIqAKsVgsxMbGMnXqVHbs2IHNZiM5OdnsWCJys1mtcNc0uOs146z1zo+Mg9gTB81OVvl8txjm9YQT+yCgttGorWnFX/mtLBrW8mfxE93o3LA6+UWlxM/fzF/XHrruhSzcXe65Eh5N2sLsr41Vlx67NZLEkZ2p7m8zOZm4ExUBVcSmTZuYNm0aW7du5ciRIyxevJjs7GxatGhhdjQRKS9dn4C4JeAfCtl7YG4P2P2Z2akqB3sJLJsMH4805lg0vBVGr4V60WYnc3nV/W0sHNWFge3DKXU4eeWLPTy2YCs5Z4vNjlYpHMjMZ9DsdXy9LxtvTyszHmzP83e3xNNDh2RSsfQbV0UEBQWxZs0a+vfvT9OmTXnhhRf44x//SL9+/cyOJiLlqWF34+C1QTcozjeWtVz+PNhLzU7muvLSIfEe2Pi2cT92otGPISDUzFSVio+XBzMebM/vB7bC5mHlqz1Z9J+5lq2HT5kdzaUt3ZnOoNnrSD0/AfiTJ7oxqENds2OJm7I43fAaXl5eHsHBweTm5hIUFHTRc4WFhaSmphIZGYmPj49JCV2btpGIC7KXwMqpsP4vxv2IWGPuQFAdc3O5mkOr4ZNRUJAN3kEwaA60uMfsVJXad8dzGfePHaSeKMDDaiwrOvq2xlitmqx+Qe65EqYu2cXiHccB6NqoBrMf6kjNAG+Tk0lVdLXj3J/SlQARkarAwwvufAUeWAi2QPhhHczuAtsXGmvfu7vCPPjiKVhwr1EAhLWG33yjAuAmaF03mM/HdWdg+3DsDidvLNtH3PzNnDhTZHY0l7B6fzZ9/7yGxTuOY7XAEz0as3BUFxUAYjoVASIiVUnLe42D2/AOUJQLS8bCwkFw+rDJwUx0YAW8HQNb/mrc7xRvNF+r2djUWFVJgLcnMx5szxtD2uLjZWXtgRP0/tNqPtxyBIebdhkuKCrld8k7ifvbZjLyComs5c8/R3fj2bua46Xx/+IC9FsoIlLV1GoCo76CPr8HTx849I1xELxxDjjsZqerOGdPweLHjU7LecegekMYsQQGzASbn9npqhyLxcIDneuzZGx3WtQJIudsCc9+spMH3t3Avox8s+NVqE2HTnLXzDUs2nQEgPhuDflifHc6RVy+d4+IGTQnQHMCrpu2kUglcvJ7WDIefvjWuF+vM9z7FwitwiuHOZ2wKxm+/D84ewIsVuj6JPT8Hdj8zU7nFkrtDhLXH+ZPK/ZzttiOp9XCqFsjmdArCj9b1e1TevTUWf7w7318lpIGQN1qvrx5X1u6NallcjJxJ9c6J0BFgIqA66ZtJFLJOBywPQn+/aKxgpDFAzoMh9ufheB6Zqe7uQ5/CytfhqObjPshLWDgLC39aZK0nHNM/XwXy3dlAsZBccKAlvRpGXZdDTFdXe65Et7+5iDz1x2muNSBxQIPRtfn+btbEOjj9fPfQOQmUhFwFSoCboy2kUgllXsclj4De/9l3PewQfQouHVS5V8e8/g2WPUKfL/KuO/pC7ET4NanwFMNmMz21e5MEpbs4njOOQDa1Qtm3B1R9GoRWqmLgeJSB+9v+oG3Vh7g9NkSAGIa1eT5u1vQum6wyenEXakIuAoVATdG20ikkju62Thbfnitcd/Lz2g81m0c+FayMctZe4yD/wuFjdULOsXBrU9reVQXc7a4lL+sOsj8dakUljgAaBUexLg7mnBny9qVaknRwhI7n/8njdlfH+TwybMANAkN4Hf9m9OzWeUubKTyUxFwFSoCboy2kUgV4HQaE4ZX/d44iw7gEwzth0PHOAhtbmq8q3LYjTP+2xJh7xeA0xj333Yo9HjWmAAsLuvEmSL+ujaVBRsOc7bYmKjeLCyQsXc0oV/r2i7dOTct5xx/3/gDH2w5yqkCo0NyrQAbv+3TlAej67t0dnEfKgKuQkXAjdE2EqlCnE7Y96VxNj1r94+P1+9iFAOtBrvOSjq5x2DH341b7tEfH29xL/R83rULF7nEqYJi/vZtKonrD3OmyOhwHRLozb3twhncoS6twoNc4oy60+lkc+opEtcf5t+7M7GfX/I0PNiHh2MiGBHTkADvqjvZWSofFQFXoSLgxmgbiVRBDjsc/Aq2JcH+ZeA8v5SodxC0uR/a3Ad1oyt+fP2508YVi5RFRj6nMYwEn2rQbhh0HAFhLSs2k9xUuWdLmL8+laT1h8vG1QNEhQYwqENdBnWoS91qvhWaqdTuYNsPp1m1L4uvdmfyfXZB2XNdG9UgvltDercI05l/cUmmFwGvvvoqX3zxBSkpKdhsNnJycn72a5xOJwkJCcybN4+cnBxiY2OZM2cOUVFRZa85deoU48aN4/PPP8dqtTJkyBBmzpxJQEDANWdTEXBjtI1Eqrj8DEh5H7YvuLjJmJc/RHSDRrdDox4Q2gqsN/kgqOQcHNloHPinrob0//x44A/Q8FbjCkWLAeClvz9VSXGpgzX7s0lOOc6K3ZkUl/6439vVr0bniOpEN6xOp4gahATe/G67OWeLWb0/m5V7sli9P5vccz8WJD5eVgZ3qEdctwia177yQZWIKzC9CEhISKBatWocO3aM995775qKgNdff53p06eTlJREZGQkL774Ijt37mT37t1lB5v9+vUjPT2dd999l5KSEkaOHEnnzp1ZtGjRNWerqkWAw+HgD3/4A3PnzuXo0aOEhYXx+OOP8/zzz7Nz504mTJjAhg0b8PPzY8iQIfzpT38qK56++eYbnnnmGXbt2oWXlxetWrVi0aJFREREXPI+lXkbich1cDjg8BrY8b4xBv/siYuf96sJDWKMzrvVG/54C64PHj+zLGJRPpz+wSgycs5/zNpjTFq2F1382lrNoFk/46y/uvy6hbzCEpbtzGDxjmNsPHTqkucjavrRKaI6HRpUp241H0IDfQgN8qamvzcePzPB+ExRKQezznAgM58DP/l47PS5i15Xzc+Lns1C6dk8lNubhhDsq6U+pXIwvQi4IDExkYkTJ/5sEeB0OgkPD+epp57i6aefBiA3N5ewsDASExMZOnQoe/bsoWXLlmzZsoXoaGPN52XLltG/f3+OHTtGeHj4Zb93UVERRUU//lPJy8ujfv36114EOJ1QcvYXboEb4OUH1zEe8tlnn2XevHn8+c9/pnv37qSnp7N3716GDRtGVFQUMTExTJ06laysLB599FFuu+02EhMTKS0tpVatWjz22GOMHj2a4uJiNm/eTM+ePWnQoMEl76MiQMQNORzGnIELZ+gPr4OSgsu/1mKFoLpGt+JLOOFczqUFxU8FhhtXGhrdDpG3a5UfN5eee46Nh06y9fBptv1wmn2Z+VzpyMVqgVoB3oQGeWO1WCgqcVBYaqeoxEFRqZ3CEgfnSq7cNbt57UDuaB7KHc1D6dCg+s8WFCKu6FqLAJeZyZKamkpGRga9e/cueyw4OJguXbqwYcMGhg4dyoYNG6hWrVpZAQDQu3dvrFYrmzZtYvDgwZf93tOnT2fq1Km/PFzJWZh2+QKjXP0u7Zq7W+bn5zNz5kxmzZpFXFwcAI0bN6Z79+7MmzePwsJCFixYgL+/8f1mzZrFgAEDeP311/Hy8iI3N5d77rmHxo2Ns2wtWlThbqIicv2sVqjd2rh1GwulxcaqQmnbLz2jX1p48cTdK/GtfvEVhOqRxnCjmk2u6wSIVG11gn0Z3KEegzsYje1yz5Ww/chpth0+ze70PLLyC8nKK+LEmSIcTsjKLyIrv+iq3zMk0Juo0ACahgXSJDSAqNAAosICqeGvnhLiPlymCMjIyAAgLCzsosfDwsLKnsvIyCA09OKGNp6entSoUaPsNZczefJkJk2aVHb/wpWAqmTPnj0UFRXRq1evyz7Xrl27sgIAIDY2FofDwb59+7jtttuIj4+nb9++9OnTh969e/PAAw9Qp47OvonIFXjaICLGuP2U0wlnMiHnKDhKLv+1tgCoHmEsSSpynYJ9zw/TaXbx8YDd4eTkmaLzRUAhTif4eHng7WnF29MDHy/jY7CvF8F+Gtojcl1FwHPPPcfrr79+1dfs2bOH5s1da5k2b29vvL1vYBKRl59xVr6ieV37sny+vje2csL8+fMZP348y5Yt48MPP+SFF15gxYoVdO3a9Ya+r4i4GYsFAmsbN5EK5GG1EBrkQ2iQD6ACU+TnXFcR8NRTTxEfH3/V1zRq1OgXBald2/iHkZmZedEZ6MzMTNq3b1/2mqysrIu+rrS0lFOnTpV9fbmwWK55WI5ZoqKi8PX1ZeXKlTz66KMXPdeiRQsSExMpKCgouxqwbt06rFYrzZo1K3tdhw4d6NChA5MnTyYmJoZFixapCBARERGpgq6rCAgJCSEkJKRcgkRGRlK7dm1WrlxZdtCfl5fHpk2beOKJJwCIiYkhJyeHbdu20alTJwBWrVqFw+GgS5cu5ZKrsvDx8eHZZ5/lmWeewWazERsbS3Z2Nrt27WL48OEkJCQQFxfHlClTyM7OZty4cTzyyCOEhYWRmprK3LlzuffeewkPD2ffvn0cOHCAESNGmP1jiYiIiEg5KLc5AUeOHOHUqVMcOXIEu91OSkoKAE2aNClblrJ58+ZMnz6dwYMHY7FYmDhxIq+88gpRUVFlS4SGh4czaNAgwDijfdddd/HYY4/xzjvvUFJSwtixYxk6dOgVVwZyJy+++CKenp689NJLpKWlUadOHUaPHo2fnx/Lly9nwoQJdO7c+aIlQgH8/PzYu3cvSUlJnDx5kjp16jBmzBgef/xxk38iERERESkP5bZEaHx8PElJSZc8/vXXX9OjRw/jzS0W5s+fXzbE6EKzsLlz55KTk0P37t15++23adq0adnXnzp1irFjx17ULOytt95Ss7AKpG0kIiIi4ppcpk+AK1IRcGO0jURERERc07UWATe537uIiIiIiLg6FQEiIiIiIm5GRYCIiIiIiJtRESAiIiIi4mZUBFyBw+EwO4LLcsO55CIiIiJVSrn1CaisbDYbVquVtLQ0QkJCsNlsWCwWs2O5DKfTSXZ2NhaLBS8vL7PjiIiIiMgvoCLgf1itViIjI0lPTyctLc3sOC7JYrFQr149PDw8zI4iIiIiIr+AioDLsNlsNGjQgNLSUux2u9lxXI6Xl5cKABEREZFKTEXAFVwY7qIhLyIiIiJS1WhisIiIiIiIm1ERICIiIiLiZlQEiIiIiIi4GbecE3Bhnfu8vDyTk4iIiIiI3DwXjm9/rq+TWxYB+fn5ANSvX9/kJCIiIiIiN19+fj7BwcFXfN7idMP2rw6Hg7S0NAIDA01pBJaXl0f9+vU5evQoQUFBFf7+cintE9ejfeJ6tE9ci/aH69E+cT3uuE+cTif5+fmEh4djtV555L9bXgmwWq3Uq1fP7BgEBQW5zS9kZaF94nq0T1yP9olr0f5wPdonrsfd9snVrgBcoInBIiIiIiJuRkWAiIiIiIibURFgAm9vbxISEvD29jY7ipynfeJ6tE9cj/aJa9H+cD3aJ65H++TK3HJisIiIiIiIO9OVABERERERN6MiQERERETEzagIEBERERFxMyoCRERERETcjIoAERERERE3oyKggs2ePZuGDRvi4+NDly5d2Lx5s9mR3NqaNWsYMGAA4eHhWCwWPv30U7MjubXp06fTuXNnAgMDCQ0NZdCgQezbt8/sWG5tzpw5tG3btqzbZkxMDEuXLjU7lvzEa6+9hsViYeLEiWZHcVtTpkzBYrFcdGvevLnZsdze8ePHefjhh6lZsya+vr60adOGrVu3mh3LZagIqEAffvghkyZNIiEhge3bt9OuXTv69u1LVlaW2dHcVkFBAe3atWP27NlmRxFg9erVjBkzho0bN7JixQpKSkq48847KSgoMDua26pXrx6vvfYa27ZtY+vWrdxxxx0MHDiQXbt2mR1NgC1btvDuu+/Stm1bs6O4vVatWpGenl52+/bbb82O5NZOnz5NbGwsXl5eLF26lN27d/PHP/6R6tWrmx3NZahPQAXq0qULnTt3ZtasWQA4HA7q16/PuHHjeO6550xOJxaLheTkZAYNGmR2FDkvOzub0NBQVq9ezW233WZ2HDmvRo0avPnmm4waNcrsKG7tzJkzdOzYkbfffptXXnmF9u3bM2PGDLNjuaUpU6bw6aefkpKSYnYUOe+5555j3bp1rF271uwoLktXAipIcXEx27Zto3fv3mWPWa1WevfuzYYNG0xMJuK6cnNzAeOgU8xnt9v54IMPKCgoICYmxuw4bm/MmDHcfffdF/1fEfMcOHCA8PBwGjVqxPDhwzly5IjZkdzakiVLiI6O5v777yc0NJQOHTowb948s2O5FBUBFeTEiRPY7XbCwsIuejwsLIyMjAyTUom4LofDwcSJE4mNjaV169Zmx3FrO3fuJCAgAG9vb0aPHk1ycjItW7Y0O5Zb++CDD9i+fTvTp083O4pgXOlPTExk2bJlzJkzh9TUVG699Vby8/PNjua2Dh06xJw5c4iKimL58uU88cQTjB8/nqSkJLOjuQxPswOIiFzOmDFj+O677zSu1gU0a9aMlJQUcnNz+fjjj4mLi2P16tUqBExy9OhRJkyYwIoVK/Dx8TE7jgD9+vUr+7xt27Z06dKFiIgIPvroIw2bM4nD4SA6Oppp06YB0KFDB7777jveeecd4uLiTE7nGnQloILUqlULDw8PMjMzL3o8MzOT2rVrm5RKxDWNHTuWf/3rX3z99dfUq1fP7Dhuz2az0aRJEzp16sT06dNp164dM2fONDuW29q2bRtZWVl07NgRT09PPD09Wb16NW+99Raenp7Y7XazI7q9atWq0bRpUw4ePGh2FLdVp06dS05UtGjRQsO0fkJFQAWx2Wx06tSJlStXlj3mcDhYuXKlxtaKnOd0Ohk7dizJycmsWrWKyMhIsyPJZTgcDoqKisyO4bZ69erFzp07SUlJKbtFR0czfPhwUlJS8PDwMDui2ztz5gzff/89derUMTuK24qNjb1kien9+/cTERFhUiLXo+FAFWjSpEnExcURHR3NLbfcwowZMygoKGDkyJFmR3NbZ86cuehMTWpqKikpKdSoUYMGDRqYmMw9jRkzhkWLFvHZZ58RGBhYNl8mODgYX19fk9O5p8mTJ9OvXz8aNGhAfn4+ixYt4ptvvmH58uVmR3NbgYGBl8yT8ff3p2bNmpo/Y5Knn36aAQMGEBERQVpaGgkJCXh4eDBs2DCzo7mt3/72t3Tr1o1p06bxwAMPsHnzZubOncvcuXPNjuYyVARUoAcffJDs7GxeeuklMjIyaN++PcuWLbtksrBUnK1bt9KzZ8+y+5MmTQIgLi6OxMREk1K5rzlz5gDQo0ePix6fP38+8fHxFR9IyMrKYsSIEaSnpxMcHEzbtm1Zvnw5ffr0MTuaiMs4duwYw4YN4+TJk4SEhNC9e3c2btxISEiI2dHcVufOnUlOTmby5Mm8/PLLREZGMmPGDIYPH252NJehPgEiIiIiIm5GcwJERERERNyMigARERERETejIkBERERExM2oCBARERERcTMqAkRERERE3IyKABERERERN6MiQERERETEzagIEBERERFxMyoCRERERETcjIoAERERERE3oyJARERERMTN/D/g5CtrNF9FwwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9, 6))\n",
    "\n",
    "# 显示图例\n",
    "plt.plot(x, y1)\n",
    "plt.plot(x, y2)\n",
    "plt.legend(['sin', 'cos'])  # 默认的位置在左下角\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "199227ac-6435-4a58-85c5-1e7b2ef17502",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9, 6))\n",
    "\n",
    "# 显示图例\n",
    "plt.plot(x, y1)\n",
    "plt.plot(x, y2)\n",
    "# 改变图例的位置，通过 loc, bbox_to_anchor两个参数来做到\n",
    "# 让图例水平而不是竖直，通过ncol参数来做到，ncol=2表示排成两列\n",
    "plt.legend(\n",
    "    ['sin', 'cos'], \n",
    "    loc='center', \n",
    "    bbox_to_anchor=[0, 1, 1, 0.2],   # 4个参数，前两个是坐标，后两个是宽高\n",
    "    ncol=2\n",
    ")  \n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cd808958-991e-44d4-9d3d-d02e270302aa",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
